Janez Mrcun's Home Page

Communication

Mail:
Department of mathematics
Faculty of mathematics and physics
University of Ljubljana
Jadranska 19, 1000 Ljubljana, Slovenia
Room:
J21-4.05
Email:
janez.mrcun@fmf.uni-lj.si
Telephone:
+386 1 4766688
Telefax:
+386 1 2517281

Teaching

Research

Reeb foliation of solid torus
Interests:
foliations, Lie groupoids and Lie algebroids, differential geometry and topology, algebraic topology
Preprints:
  • On the universal enveloping algebra of a Lie-Rinehart algebra. (with I. Moerdijk)
    (to appear) arXiv:0801.3929
Publications:
  • Equivalence between the Morita categories of etale Lie groupoids and of locally grouplike Hopf algebroids. (with J. Kalisnik)
    Indag. Math. 19 (2008), 73-96. (MathSciNet) (ZMath)
  • Sheaf coalgebras and duality.
    Topology Appl. 154 (2007), 2795-2812. (MathSciNet) (ZMath)
  • Multiplicative bijections between algebras of differentiable functions. (with P. Semrl)
    Ann. Acad. Sci. Fenn. Math. 32 (2007), 471-480. (MathSciNet) (ZMath)
  • On duality between etale groupoids and Hopf algebroids.
    J. Pure Appl. Algebra 210 (2007), 267-282. (MathSciNet) (ZMath)
  • On the developability of Lie subalgebroids. (with I. Moerdijk)
    Adv. Math. 210 (2007), 1-21. (MathSciNet) (ZMath)
  • On the integrability of Lie subalgebroids. (with I. Moerdijk)
    Adv. Math. 204 (2006), 101-115. (MathSciNet) (ZMath)
  • On isomorphisms of algebras of smooth functions.
    Proc. Amer. Math. Soc. 133 (2005), 3109-3113. (MathSciNet) (ZMath)
  • Lie groupoids, sheaves and cohomology. (with I. Moerdijk)
    Poisson Geometry, Deformation Quantisation and Group Representations, 145-272, London Math. Soc. Lecture Note Ser. 323, Cambridge University Press, Cambridge, 2005. (abstract) (MathSciNet) (ZMath)
  • Introduction to Foliations and Lie Groupoids. (with I. Moerdijk)
    Cambridge Studies in Advanced Mathematics 91, Cambridge University Press, Cambridge, 2003. (abstract) (errata) (MathSciNet) (ZMath)
  • On integrability of infinitesimal actions. (with I. Moerdijk)
    Amer. J. Math. 124 (2002), 567-593. (MathSciNet) (ZMath)
  • The Hopf algebroids of functions on etale groupoids and their principal Morita equivalence.
    J. Pure Appl. Algebra 160 (2001), 249-262, erratum ibid. 176 (2002), 275-276. (MathSciNet) (ZMath)
  • Functoriality of the bimodule associated to a Hilsum-Skandalis map.
    K-Theory 18 (1999), 235-253. (MathSciNet) (ZMath)
  • On the stability of equivariant foliations.
    Proc. Amer. Math. Soc. 125 (1997), 1561-1570. (MathSciNet) (ZMath)
  • An extension of the Reeb stability theorem.
    Topology Appl. 70 (1996), 25-55. (MathSciNet) (ZMath)
  • Lipschitz spectrum preserving mappings on algebras of matrices.
    Linear Algebra Appl. 215 (1995), 113-120. (MathSciNet) (ZMath)

Home Page Updated: December 19, 2009