# L2 -characteristic classes of Maslov–Trofimov of hamiltonian systems on the Lie algebra of the upper-triangular matrices

Fundamenta Mathematicae (1998)

- Volume: 156, Issue: 2, page 99-110
- ISSN: 0016-2736

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topNowak, Jerzy. "L2 -characteristic classes of Maslov–Trofimov of hamiltonian systems on the Lie algebra of the upper-triangular matrices." Fundamenta Mathematicae 156.2 (1998): 99-110. <http://eudml.org/doc/212268>.

@article{Nowak1998,

abstract = {We generalize the construction of Maslov-Trofimov characteristic classes to the case of some G-manifolds and use it to study certain hamiltonian systems.},

author = {Nowak, Jerzy},

journal = {Fundamenta Mathematicae},

keywords = {-Maslov-Trofimov -characteristic class; symplectic manifold; Lagrangian submanifold},

language = {eng},

number = {2},

pages = {99-110},

title = {L2 -characteristic classes of Maslov–Trofimov of hamiltonian systems on the Lie algebra of the upper-triangular matrices},

url = {http://eudml.org/doc/212268},

volume = {156},

year = {1998},

}

TY - JOUR

AU - Nowak, Jerzy

TI - L2 -characteristic classes of Maslov–Trofimov of hamiltonian systems on the Lie algebra of the upper-triangular matrices

JO - Fundamenta Mathematicae

PY - 1998

VL - 156

IS - 2

SP - 99

EP - 110

AB - We generalize the construction of Maslov-Trofimov characteristic classes to the case of some G-manifolds and use it to study certain hamiltonian systems.

LA - eng

KW - -Maslov-Trofimov -characteristic class; symplectic manifold; Lagrangian submanifold

UR - http://eudml.org/doc/212268

ER -

## References

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- [10] Fuks D.B., On Maslov-Arnold characteristic classes, Dokl. Akad. Nauk SSSR 178 (1968), 303-306 (in Russian).
- [11] Guillemin V. and Sternberg S., Geometric Asymptotics, Math. Surveys 14, Amer. Math. Soc., Providence, 1977.
- [12] Karasev M.V. and Vorob'ev Y.M., preprint, 1993 (in Russian).
- [13] Le Hong Van, Minimal surfaces and Maslov-Trofimov index, in: Izbrannye Voprosy Algebry, Geom. i Diskr. Matem., MGU, Moscow, 1988, 62-79 (in Russian).
- [14] Maslov V.P., Operator Methods, Nauka, Moscow, 1973 (in Russian).
- [15] McDuff D., Elliptic methods in symplectic geometry, lecture notes distributed in conjunction with the Progress in Mathematics Lecture given at the 92nd summer meeting of the American Mathematical Society, University of Colorado, Boulder, 1989.
- [16] Trofimov V.V., Maslov index of Lagrangian submanifolds in symplectic manifolds, Trudy Sem. Vektor. Tenzor. Anal. 23 (1988), 190-194 (in Russian). Zbl0808.53036
- [17] Trofimov V.V., Symplectic connections, Maslov index and Fomenko's conjecture, Dokl. Akad. Nauk SSSR 304 (1989), 214-217 (in Russian). Zbl0687.58009
- [18] Trofimov V.V., Connection on manifolds and new characteristic classes, Acta Appl. Math. 22 (1991), 283-312. Zbl0732.58018
- [19] Trofimov V.V., Holonomy group and generalized Maslov classes on submanifolds in spaces with an affine connection, Mat. Zametki 49 (1991), 113-123 (in Russian).
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