*Parabolic Geometries I: Background and General Theory*(joint with J. Slovak)

Mathematical Surveys and Monographs**154**, Amer. Math. Soc. 2009, 628 pp.

Publisher's page for the book

Book-page (updates and corrections)

*Bundles of Weyl structures and invariant calculus for parabolic geometries*(joint with J. Slovak), electronically available at arXiv:2210.16652.

*BGG sequences with weak regularity and applications*(joint with K. Hu), electronically available at arXiv:2203.01300.

*A relative mass cocycle and the mass of asymptotically hyperbolic manifolds*(joint with A.R Gover), electronically available at arXiv:2108.01373.

*Geometric Theory of Weyl Structures*(joint with T. Mettler), to appear in Commun. Contemp. Math., DOI: 10.1142/S0219199722500262, electronically available at arXiv:1908.10325.

*A Poisson transform adapted to the Rumin complex*(joint with P. Julg and C. Harrach), J. Topol. Anal.**14**No. 3 (2022) 615-653, DOI: 10.1142/S1793525320500570, electronically available at arXiv:1904.00635.

*C*(joint with K. Melnick), Transform. Groups^{1}Deformations of almost-Grassmannian structures with strongly essential symmetry**26**no. 4 (2021) 1169-1187, DOI: 10.1007/s00031-020-09584-2, published version available via SharedIt here, also available online at arXiv:1902.01801.

*Parabolic Compactification of Homogeneous Spaces*(joint with A.R Gover and M. Hammerl), J. Inst. Math. Jussieu**20**no. 4 (2021) 1371-1408, DOI: 10.1017/S1474748019000513, published version availbable via Cambridge Core Share. Also availabel online via arXiv:1807.04556.

*On C-class equations*(joint with B. Doubrov and D. The), to appear in Commun. Anal. Geom., electronically available at arXiv:1709.01130.

*On canonical Cartan connections associated to filtered G-structures*, electronically available at arXiv:1707.05627.

*Parabolic conformally symplectic structures III; Invariant differential operators and complexes*(joint with T. Salac), Doc. Math.**24**(2019) 2203-2240, published version available online via elibm.

*Parabolic conformally symplectic structures II; parabolic contactification*(joint with T. Salac), Ann. Mat. Pura Appl.**197**no. 4 (2018) 1175-1199, published version (via SharedIt) open access, also electronically available at arXiv:1605.01897.

*Parabolic conformally symplectic structures I; definition and distinguished connections*(joint with T. Salac), Forum Math.**30**, 3 (2018) 733-751, electronically available at arXiv:1605.01161.

*C-Projective Compactification; (quasi-)Kähler Metrics and CR boundaries*(joint with A.R. Gover), Amer. J. Math.**141**3 (2019) 813-856, electronically available at arXiv:1603.07039.

*Relative BGG sequences; II. BGG machinery and invariant operators*(joint with V. Soucek) Adv. Math.**320**(2017) 1009-1062, free access to published version until Dec. 6, 2017 here, permanently electronically available at arXiv:1510.03986.

*Relative BGG sequences; I. Algebra*(joint with V. Soucek) J. Algebra**463**(2016) 188-210, electronically available at arXiv:1510.03331.

*Conformal Holonomy Equals Ambient Holonomy*(joint with A.R. Gover, C.R. Graham, and M. Hammerl), Pacific J. Math.**285**no. 2 (2016), 303-318, electronically available at arXiv:1504.00914.

*Scalar Curvature and Projective Compactness*(joint with A.R. Gover), J. Geom. Phys.**98**(2015) 475-481, available online at arXiv:1409.1698.

*Projective Compactness and Conformal Boundaries*(joint with A.R. Gover) Math. Ann.**366**no. 3-4 (2016) 1587-1620, published version (via SharedIt), also available online at arXiv:1406.4225.

*Pushing down the Rumin complex to locally conformally symplectic quotients*(joint with T. Salac), Differential Geom. Appl.**35**Supplement (2014) 255-265, available online at arXiv:1312.2712.

*Projective Compactifications and Einstein metrics*(joint with A.R. Gover) J. Reine Angew. Math.**717**(2016) 47-75, electronically available at arXiv:1304.1869.

*Essential Killing fields of parabolic geometries: projective and conformal structures*(joint with K. Melnick) Centr. Europ. J. Math**11**, 12 (2013) 2053-2061, published version, also available as Preprint ESI 2393 [ PDF ]

*Essential Killing fields of parabolic geometries*(joint with K. Melnick), Indiana Univ. J. Math.**62**no. 6 (2013) 1917-1953, published version also electronically available as Preprint ESI 2388 [ PDF ]

*Einstein metrics in projective geometry*(joint with A.R. Gover and H. Macbeth) Geom. Dedicata**168**No. 1 (2014) 235-244, published version (via SharedIt), also electronically available as Preprint ESI 2373 [ PDF ]

*Normal BGG solutions and polynomials*(joint with A.R. Gover and M. Hammerl) Internat. J. Math.**23**No. 11 (2012) 1250117, 29pp., electronically available as Preprint ESI 2348 [ PDF ]

*Holonomy reductions of Cartan geometries and curved orbit decompositions*(joint with A.R. Gover and M. Hammerl) Duke Math. J.**163**, no. 5 (2014) 1035-1070, electronically available as Preprint ESI 2308 [ PDF ]

*Projective BGG equations, algebraic sets, and compactifications of Einstein geometries*(joint with A.R. Gover and M. Hammerl) J. London Math. Soc.**86**no. 2 (2012) 433-454, electronically available as [ published version ] or as Preprint ESI 2249 [ PDF ]

*Equivariant quantizations for AHS-structures*(joint with J. Silhan), Adv. Math.**224**(2010) 1717-1734, published version (via open archive), also electronically available as Preprint ESI 2136 [ PDF ]

*Contact projective structures and chains*(joint with V. Zadnik), Geom. Dedicata**146**, 1 (2010) 67-83, published version (via ShearedIt), also electronically available as Preprint ESI 2058 [ PDF ]

*Conformally invariant operators via curved Casimirs: examples*(joint with A. Rod Gover and V. Soucek), Pure Appl. Math. Q.**6**, 3 (2010) 693-714, electronically available as Preprint ESI 2049 [ PDF ]

*On automorphism groups of some types of generic distributions*(joint with K. Neusser), Differential Geom. Appl.**27**(2009) 769-779, published version (via open archive), also electronically available as Preprint ESI 2036 [ PDF ]

*AHS-structures and affine holonomies*, Proc. Amer. Math. Soc.**137**no. 3 (2009) 1073-1080, published version, also available as Preprint ESI 2021 [ PDF ]

*On Nurowski's Conformal Structure Associated to a Generic Rank Two Distribution in Dimension Five*(joint with K. Sagerschnig), J. Geom. Phys.**59**(2009) 901-912, electronically available as Preprint ESI 1963 [ PDF ]

*Curved Casimir operators and the BGG machinery*(joint with V. Soucek), SIGMA**3**(2007) 111, 17 pages, available online via http://www.emis.de/journals/SIGMA/2007/111/

*The Heisenberg group, SL(3,*(joint with M.G. Cowling, F. De Mari, M.G. Eastwood, and R. McCallum), in "Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory: In Honour of Roger E. Howe", edited by Jian-Shu Li, Eng-Chye Tan, Nolan Wallach and Chen-Bo Zhu, Singapore University Press and World Scientific Publishing (2007) 49-62. electronically available as ESI Preprint 1913: [ PDF ]**R**), and Rigidity

*A holonomy characterisation of Fefferman spaces*(joint with A.R. Gover), Ann. Glob. Anal. Geom.**38**no. 4 (2010) 399-412, published version (via SharedIt), also electronically available as ESI Preprint 1875: [ PDF ]

*CR-Tractors and the Fefferman Space*(joint with A.R. Gover), Indiana Univ. Math. J.**57**No. 5 (2008) 2519-2570, published version in PDF

*Overdetermined Systems, Conformal Geometry, and the BGG Complex*, in M.G. Eastwood, W. Miller (eds.) "Symmetries and Overdetermined Systems of Partial Differential Equations", The IMA Volumes in Mathematics and its Applications 144, Springer (2008), 1-25. electronically available as ESI Preprint 1849: [ PDF ]

*On left invariant CR structures on SU(2)*, Arch. Math. (Brno)**42**(2006) Supplement 185-195 ("Proceedings of the Winter School on Geometry and Physics, Srni 2006"), electronically available via the electronic libarary of the EMS: [ PDF ]

*Infinitesimal Automorphisms and Deformations of Parabolic Geometries*, JEMS**10**, 2 (2008) 415-437, electronicallly available as ESI Preprint 1684: [ PDF ]

*Subcomplexes in Curved BGG-Sequences*(joint with V. Soucek), Math. Ann.**354**No. 1 (2012) 111-136, published version (via SharedIt), also electronically availabe as ESI Preprint 1683: [ PDF ]

*On the Geometry of Chains*(joint with V. Zadnik), J. Differential Geom.**82**, 1 (2009) 1-33, electronically available as ESI Preprint 1651: [ PDF ]

*Prolongations of Geometric Overdetermined Systems*(joint with T. Branson, M. Eastwood, and R. Gover), Internat. J. Math.**17**No. 6 (2006) 641-664, electronically available as ESI Preprint 1458: [ PDF ]

*Two constructions with parabolic geometries*, in "Proceedings of the 25th Winter School on Geometry and Physics, Srni 2005" Rend. Circ. Mat. Palermo Suppl. ser. II,**79**(2006) 11-37, electronically available as ESI Preprint 1645: [ PDF ]

*Automorphism groups of parabolic geometries*, in "Proceedings of the 24th Winter School on Geometry and Physics, Srni 2004" Rend. Circ. Mat. Palermo Suppl. ser. II**75**(2005) 233-239, electronically available as ESI Preprint 1478: [ PDF ]

*Correspondence spaces and twistor spaces for parabolic geometries*, J. Reine Angew. Math.**582**(2005) 143-172, electronically available as ESI Preprint 989: [ PDF ]

*On Distinguished Curves in Parabolic Geometries*(joint with J. Slovak and V. Zadnik), Transform. Groups**9**no. 2 (2004) 143-166, published version (via SharedIt), also electronically available as ESI Preprint 1346: [ PDF ]

*Standard tractors and the conformal ambient metric construction*(joint with A.R. Gover), Ann. Global Anal. Geom.**24**, 3 (2003) 231-259, published version (via SharedIt), also electronically available as ESI Preprint 1177: [ PDF ]

*Some special geometry in dimension six*(joint with M. Eastwood), in "Proceedings of the Winter School on Geometry and Physics, Srni 2002" Rend. Circ. Mat. Palermo Suppl. ser. II**71**(2003) 93-98 electronically available as ESI Preprint 851: [ PDF ]

*Weyl structures for parabolic geometries*(joint with J. Slovak), Math. Scand.**93**, 1 (2003) 53-90, electronically available as ESI Preprint 801: [ PDF ]

*Parabolic geometries, CR-tractors, and the Fefferman construction*, Differential Geom. Appl.**17**(2002) 123-138, published version (via open archive), also electronically available as ESI Preprint 1084: [ PDF ]

*Partially integrable almost CR manifolds of CR dimension and codimension two*(joint with G. Schmalz), in "Lie Groups Geometric Structures and Differential Equations - One Hundred Years after Sophus Lie", Advanced Studies in Pure Mathematics**37**, Mathematical Society of Japan, Tokyo, (2002), 45-79, electronically available as ESI Preprint 937: [ PDF ]

*Tractor calculi for parabolic geometries*(joint with A.R. Gover), Trans. Amer. Math. Soc.**354**(2002), 1511-1548, published version available online free of charge [PDF]

*Bernstein-Gelfand-Gelfand Sequences*(joint with J. Slovak and V. Soucek) Ann. of Math.**154**, no. 1 (2001) 97-113, extended version available as ESI Preprint 722: [ PDF ]

*Almost CR-manifolds of CR-dimension and codimension two*RIMS Kokyuroku**1150**(2000), 54-62, Postscript

*Tractor bundles for irreducible parabolic geometries*(joint with A.R. Gover), SMF, Séminaires et Congrès, numéro**4**, (2000), 129-154, electronically available as ESI Preprint 865: [ PDF ]

*Invariant Operators on Manifolds with Almost Hermitian Symmetric Structures, III. Standard Operators*(joint with J. Slovak and V. Soucek) Diferential Geom. Appl.**12**No. 1 (2000) 51-84, published version (via open archive), also electronically available as ESI Preprint 613: [ PDF ]

*Parabolic Geometries and Canonical Cartan Connections*(joint with H. Schichl), Hokkaido Math. J.**29**No.3 (2000) 453-505, electronically available as ESI Preprint 450: [ PDF ]

*Invariant Operators on Manifolds with Almost Hermitian Symmetric Structures, II. Normal Cartan Connections*(joint with J. Slovak and V. Soucek), Acta Math. Univ. Comenian.**66**no. 2 (1997) 203-220, electronically available: [ DVI , PDF , Compressed Postscript ]

*Invariant Operators on Manifolds with Almost Hermitian Symmetric Structures, I. Invariant Differentiation*(joint with J. Slovak and V. Soucek) Acta Math. Univ. Comenian.**66**no. 1 (1997) 33-69, electronically available: [ DVI , PDF , Compressed Postscript ]

*Translation of natural operators on manifolds with AHS-structures*Arch. Math. (Brno)**32**no. 4 (1996) 249-266, electronically available: [ Postscript ]

*On local flatness of manifolds with AHS-structures*(joint with J. Slovak) in "Proceedings of the 15th Winter School on Geometry and Physics, Srni 1995" Rend. Circ. Mat. Palermo Suppl. ser. II**43**(1996) 95-101, electronically available as ESI preprint 227: [ PDF ]

*Characteristic classes for A-bundles*(joint with H. Schichl), in "The Proceedings of the Winter School on Geometry and Physics (Srni 1994)" Rend. Circ. Mat. Palermo Suppl. ser. II**39**(1996) 57-71

*A note on endomorphisms of modules over reductive Lie groups and algebras*in "Proceedings of the Conference Differential Geometry and its Applications, Brno 1995", 127-131, electronically available: [ Abstract , DVI , Postscript ]

*On Twisted Tensor Products of Algebras*(joint with H. Schichl and J. Vanzura) Commun. Algebra**23**no. 12 (1995) 4701-4735, electronically available as ESI Preprint 163: [ PDF ]

*On multilinear operators commuting with Lie derivatives*(joint with J. Slovak) Ann. Global Anal. Geom.**13**(1995) 251-279, electronically available as ESI Preprint 56: [ PDF ]

*A quantum group like structure on non commutative 2-tori*(joint with P.W. Michor and H. Schichl) Lett. Math. Phys.**28**(1993), 251-255.*Towards the Chern-Weil homomorphism in non commutative differential geometry*(joint with P.W. Michor) in "Proceedings of the 21st international Conference on Differential Geometric Methods in Theoretical Physics", Int. Jour. Mod. Physics A (Proc. Suppl.)**3A**(1993), 210-213

*Report on K-Theory for Convenient Algebras II*in "The Proceedings of the Winter School Geometry and Topology (Srni 1992)", Rend. Circ. Mat. Palermo Suppl. ser. II**32**(1993) 175-184

*The Frölicher-Nijenhuis Bracket in Non Commutative Differential Geometry*(joint with A. Kriegl, P.W. Michor, and J. Vanzura), Acta Math. Univ. Comenian.,**LXII**No. 1 (1993), 17-49 , electronically available: [ DVI , PDF , Compressed Postscript ]

*Report on K-Theory for Convenient Algebras*in "Proceedings of the Winter School Geometry and Physics (Srni 1991)'', Rend. Circ. Mat. Palermo Suppl. ser. II**30**(1993) 55-63

*Infinitesimally Natural Operators are Natural*(joint with J. Slovak), Differential Geom. Appl.**2**(1992) 45-55, published version (via open archive)

*Natural operators between vector valued differential forms*, in "Proceedings of the Winter School on Geometry and Physics (Srni, 1990)" Rend. Circ. Mat. Palermo Suppl. ser. II**26**(1991) 113-121

*All linear and bilinear natural concomitants of vector valued differential forms*, Comment. Math. Univ. Carolin.**31**No. 3 (1990), 567-587