Jan Kubarski
Publikacje /Publications

Publikacje [32], [33], [35], [39], [41] s¹ napisane z matematykami posiadaj¹cymi wspólne prace z medalistami Fieldsa: A.S.Mishchenko z S.Novikovem oraz N.Teleman z A.Connes.

2013

45 Cyclic Èech-Hochschild bicomplex, special issue of Miskolc Mathematical Notes, in print,
Proceedings "8-th Workshop: Algebra, Geometry and Mathematical Physics" Brno, 12 till Sept.14 2012. Czech Republic
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44 (with Bogdan Balcerzak) The Koszul homomorphism for a pair of Lie algebras in the theory of exotic characteristic classes of Lie algebroids,
Topology and its Applications, in print,
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2012

43 (wspó³autor Bogdan Balcerzak) Some Exotic Characteristic Homomorphism for Lie Algebroids, Topology and its Applications 159 (2012) 1853–1862
Topology Appl format pdf abstract

2009

[42] The signature operator for graded Hilbert subdifferential Hodge spaces and L2-Hirzebruch operators for Lie algebroids, .
Universitatis Iagellonicae Acta Mathematica, FASCICULUS XLVII, 2009, pp. 87-122.
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[41] with Alexandr Mishchenko, Algebraic aspects of the Hirzebruch signature operator and applications to transitive Lie algebroids, .
[Lf] Russian Journal of Mathematical Physics, Vol. 16, No. 3, 2009, pp. 413–428.
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2008

[40] Hirzebruch signature operator for transitive Lie algebroids.
Proceedings of the 10th International in Honour of Leonhard Euler, Conference on Differential Geometry and Its Applications, Olomouc, Czech Republic, August 2007; 2008 World Scientific Publishing Company, pp. 317–328.
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2007

[39] with Nicolae Teleman, Linear Direct Connections.
GEOMETRY AND TOPOLOGY OF MANIFOLDS, The Mathematical Legacy of Charles Ehresmann, Banach Center Publicationes, Volume 76, p. 425-436, IMPAN Warszawa 2007.
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2006

[38] The Euler-Poincare-Hopf theorem for flat connections in some transitive Lie algebroids
[Lf] Czechoslovak Mathematical Journal, Vol. 56, No. 2, 2006, p. 359-376.
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2005

[37] Primary and flat secondary characteristic classes for Lie algebroids, review and problems
Journal Travaux Mathématiques, University of Luxembourg, Fascicule XVI 2005, p. 237-254,
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2004

[36] with Roman Kadobianski, Locally conformal symplectic structures and their generalizations from the point of view of Lie algebroids
Annales Academiae Paedagogicae Cracoviensis, Studia Mathematica IV, Vol. 23, 2004, (87-102), The Volume dedicated on the 70th birthday anniversary of Prof. Andrzej Zajtz.
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[35] with Alexandr Mishchenko, Nondegenerate cohomology pairing for transitive Lie algebroids, characterization
[Lf] Central European Journal of Mathematics Vol. 2(5), p. 1-45, 2004, 663-707.
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[34] with Tomasz Rybicki, Local and nice structures of the groupoid of an equivalence relation
Cahiers de Topologie et Geométrie Differentielle categoriques, 45, 1, 2004, 23-34.
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2003

[33] with Alexandr Mishchenko, Lie Algebroids: Spectral Sequences and Signature
[Lf] Matem. Sbornik 194, No 7, 2003, 127-154.
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[32] with Alexandr Mishchenko, On signature of transitive unimodular Lie algebroids
[Lf] Doklady Mathematical Sciences_68_5/1_2003, 166-169.
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[31] with R. Kadobianski, V. Kushnirevitch and R.Wolak Transitive Lie algebroids of rank 1 and locally conformal symplectic structures
[Lf] Journal of Geometry and Physics 46 (2003) 151-158.
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2002

[30] with B.Balcerzak and W.Walas Endomorphisms of the Lie Algebroids TM×g up to Homotopy
Universitatis Iagellonicae Acta Mathematica, Fasciculus XL, 2002, 215-223.
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[29] Poincare duality for transitive unimodular invariantly oriented Lie algebroids
[Lf] Topology Appl., Vol 121, 3, June 2002, 333-355
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[28] The Euler-Poincare-Hopf theorem for some regular R-Lie algebroids
"Proceedings of the I Colloquium on Lie Theory and Applications",Vigo, SPAIN, 17-22 July, 2000. University of Vigo, 2002.
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2001

[27] The Weil algebra and the secondary characteristic homomorphism of regular Lie algebroids.
Lie Algebroids and Related Topics in Differential Geometry, Banach Center Publicationes, Volume 54, 135-173, IMPAN Warszawa 2001.
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[26] with B.Balcerzak and W.Walas Primary characteristic homomorphism of pairs of Lie algebroids and Mackenzie algebroid
Lie Algebroids and Related Topics in Differential Geometry, Banach Center Publicationes, Volume 54, 71-97, IMPAN Warszawa 2001.
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[25] Gysin sequence and Euler class of spherical Lie algebroids
[Lf] Publicationes Mathematicae, Debrecen, Tomus 59, (2001), Fasc. 3-4, 245-269.
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2000

[24] Connections in regular Poisson manifolds over R-Lie foliations
POISSON GEOMETRY, Banach Center Publications, Volume 51, Institute of Mathematics Polish Academy of Sciences, Warszawa 2000.
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1998

[23] Algebroid nature of the characteristic classes of flat bundles
Homotopy and Geometry, Banach Center Publications, Volume 45, Institute of Mathematics, Polish Academy of Sciences, Warszawa 1998, 199-224.
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1996

[22] Fibre integral in regular Lie algebroids
New Developments in Differential Geometry, Budapest 1996, KLUWER ACADEMIC PUBLISHERS, Dordrecht, 1999, 173-202. Proceedings of the Conference on Differential Geometry, Budapest, Hungary, 27-30 July 1996.
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[21] Bott's Vanishing Theorem for Lie Algebroids
[Lf] Transactions of the American Mathematical Society, Vol. 348, Nu 6, June 1996.
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1994

[20] Invariant Cohomology of Regular Lie Algebroids
ANALYSIS and GEOMETRY in FOLIATED MANIFOLDS, World Scientific, Singapure 1995, 137-151; Proceedings of the VII International Collóquium on Differential Geometry, Santiago de Compostela, Spain 26-30 July, 1994.
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1993

[19] Tangential Chern-Weil homomorphism
GEOMETRIC STUDY OF FOLIATIONS, World Scientific, Singapure, 1994, 327-344; Proceedings of the International Symposium/Workshop, 15-26 Nov 1993, Tokyo, Japan.
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[18] Characteristic classes of regular Lie algebroids – a sketch
The Proceedings of the Winter School on Geometry and Physics, SRNI, January 1991, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II - numero 30 - anno 1993, 71-94.
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1992

[17] The Chern-Weil Homomorphism of regular Lie Algebroids
(Praca habilitacyjna), Politechnika £ódzka, Zeszyty Naukowe Nr 652, £ódŸ 1992.

1991

[16] A criterion for the Minimal Closedness of the Lie Subalgebra Corresponding to a Connected Nonclosed Lie Subgroup
[Lf] REVISTA MATEMATICA de la Universidad Complutense de Madrid, Vol 4, nú 2 y 3, 1991.
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[15] The Chern-Weil Homomorphism of regular Lie Algebroids
REPRINT: UNIVERSITE CLAUDE BERNARD – LYON 1, Publications du Départment de Mathématiques, nouvelle série, 1991, 1-70.
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1990

[14] About Stefan's definition of a foliation with singularities: a reduction of the axioms
[Lf] Bull. Soc. Math. France, 118, 1990, p.391-394.
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1989

[13] Lie algebroid of a principal fibre bundle
UNIVERSITE CLAUDE BERNARD-LYON 1, Publications du Departement de Mathematiques, Fascicule 1/A - 1989, p. 1-67.
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[12] Pontryagin algebra of a transitive Lie algebroid
Proceedings of the Winter School on Geometry and Physics, SRNI, 7-14 January, 1989, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II - numero 22 - 1989, 117-126.
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1988

[11] Some invariants of Lie algebroids of principal fibre bundles
Proceedings of the Winter School on Geometry and Physics, SRNI, 9-16 January, 1988, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II - numero 21 - 1989, 235-258.

[10] Lie algebroid of a principal fibre bundle – three equivalent definitions
Prace naukowe Politechniki Szczeciñskiej, Nr 11, Instytut Matematyki, 1988, 123-145.
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1987

[9] Pradines-type groupoids
Proceedings of the Winter School on Geometry and Physics, SRNI, 10-17 January, 1987, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II - numero 16 - 1987, 125-143.
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[8] Some generalization of Godement's theorem on division
Proceedings of the Winter School on Geometry and Physics, SRNI, 10-17 January, 1987, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II - numero 16 - 1987, 119-124.
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[7] Exponential mapping for Lie groupoids. Applications
[Lf] Colloquium Mathematicum, Vol.LIV, 1987, Fasc.1, 39-48.
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1986

[6] Characteristic classes of some Pradines-type groupoids and a generalization of the Bott Vanishing Theorem
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, Proceedings of the Conference, August 24-30, 1986, Brno, Czechoslovakia, 189-198.
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1984

[5] Complete differentials of higher order in linear field modules
[Lf] Annales Polonici Mathematici, XLIV, 1984, 129-153.
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1982

[4] Exponential mapping for Lie groupoids
[Lf] Colloquium Mathematicum, Vol.XLVII, 1982, Fasc.2, 267-282.
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1980

[3] Topological Lie subgroupoids
Demostratio Mathematica, Vol.XIII, No3, 1980, 585-596.
Abstract: This paper concerns the general theory of Lie groupoids. It is a continuation of [4] above.

1978

[2] with Kowalczyk Adam, A local property of the subspaces of Euclidean differential spaces Demostratio Mathematica, Vol. XI, No4, 1978, 875-885.
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[1] The Lie Groupoids and Lie Algebroids in Differential Geometry of higher order
REPRINT: Institute of Mathematics, Polish Academy of Sciences, Proceedings of the Czechoslovakian-GDR-Polish Scientific School on Differential Geometry, Boszkowo, Poland, February 1-10, 1978, Scientific communications, Part 2, 135-146.
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