Secondary characteristic classes for the isotropic Grassmannian

Małgorzata Mikosz

Banach Center Publications (1999)

  • Volume: 50, Issue: 1, page 194-204
  • ISSN: 0137-6934

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Mikosz, Małgorzata. "Secondary characteristic classes for the isotropic Grassmannian." Banach Center Publications 50.1 (1999): 194-204. <http://eudml.org/doc/209007>.

@article{Mikosz1999,
author = {Mikosz, Małgorzata},
journal = {Banach Center Publications},
keywords = {Maslov class; Lagrangian submanifold; transversality; Lagrangian subbundles; symplectic bundle; isotropic Grassmannian; cycle; nontrivial cohomology group},
language = {eng},
number = {1},
pages = {194-204},
title = {Secondary characteristic classes for the isotropic Grassmannian},
url = {http://eudml.org/doc/209007},
volume = {50},
year = {1999},
}

TY - JOUR
AU - Mikosz, Małgorzata
TI - Secondary characteristic classes for the isotropic Grassmannian
JO - Banach Center Publications
PY - 1999
VL - 50
IS - 1
SP - 194
EP - 204
LA - eng
KW - Maslov class; Lagrangian submanifold; transversality; Lagrangian subbundles; symplectic bundle; isotropic Grassmannian; cycle; nontrivial cohomology group
UR - http://eudml.org/doc/209007
ER -

References

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  1. [Ar] V. I. Arnol'd, On a characteristic class entering in the quantization conditions (in Russian), Funktsional. Anal. i Prilozhen. 1 (1967), 1-14. 
  2. [Bor] A. Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupe de Lie compacts, Ann. of Math. (2) 57 (1953), 115-207. Zbl0052.40001
  3. [Fu] D. B. Fuks, Maslov-Arnol'd characteristic classes (in Russian), Dokl. Akad. Nauk SSSR 178 (1968), 303-306; English transl.: Soviet Math. Dokl. 9 (1968), 96-99. 
  4. [GS] V. Guillemin, S. Sternberg, Symplectic Techniques in Physics, Cambridge Univ. Press, Cambridge, 1984. Zbl0576.58012
  5. [Ja1] S. Janeczko, On isotropic submanifolds and evolution of quasicaustics, Pacific J. Math. 158 (1993), 317-334. Zbl0806.58023
  6. [Ja2] S. Janeczko, Coisotropic varieties and their generating families, Ann. Inst. H. Poincaré Phys. Théor. 56 (1992), 429-441. Zbl0812.53036
  7. [Mas] V. P. Maslov, Theory of Perturbation and Asymptotic Methods (in Russian), Izdat. Moskovskogo Gos. Univ., Moscow, 1965. 
  8. [Mik] M. Mikosz, On classification of the linear Lagrangian and isotropic subspaces, Demonstratio Math. 30 (1997), 437-450. Zbl0890.58015
  9. [MSS] A. S. Mishchenko, V. E. Shatalov, B. Yu. Sternin, Lagrangian Manifolds and the Method of the Canonical Operator (in Russian), Nauka, Moscow, 1978. 
  10. [MN] J. M. Morvan, L. Niglio, Isotropic characteristic classes, Compositio Math. 91 (1994), 67-89. Zbl0836.57020
  11. [Vai] M. I. Vaisman, Symplectic Geometry and Secondary Characteristic Classes, Progr. Math. 72, Birkhäuser, Boston, 1987. Zbl0629.53002
  12. [Wei] A. Weinstein, Lectures on Symplectic Manifolds, CBMS Regional Conf. Ser. in Math. 29, Amer. Math. Soc., Providence, 1977; corrected reprint, 1979. 

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