Classification of almost toric singularities of Lagrangian foliations

A. M. Izosimov

doi:10.1070/SM2011v202n07ABEH004175

Classification of almost toric singularities of Lagrangian foliations

A. M. Izosimov

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The topological classification is given of almost toric singularities of integrable Hamiltonian systems with a large number of degrees of freedom, that is, of nondegenerate singularities without hyperbolic components. A descriptive geometric model is constructed, which makes it possible to perform effective calculations.

Original language	English (US)
Pages (from-to)	1021-1042
Number of pages	22
Journal	Sbornik Mathematics
Volume	202
Issue number	7
DOIs	https://doi.org/10.1070/SM2011v202n07ABEH004175
State	Published - 2011
Externally published	Yes

Keywords

Hamiltonian systems
Integrability
Lagrangian foliations
Singularities
Topological invariants

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1070/SM2011v202n07ABEH004175

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title = "Classification of almost toric singularities of Lagrangian foliations",

abstract = "The topological classification is given of almost toric singularities of integrable Hamiltonian systems with a large number of degrees of freedom, that is, of nondegenerate singularities without hyperbolic components. A descriptive geometric model is constructed, which makes it possible to perform effective calculations.",

keywords = "Hamiltonian systems, Integrability, Lagrangian foliations, Singularities, Topological invariants",

author = "Izosimov, {A. M.}",

year = "2011",

doi = "10.1070/SM2011v202n07ABEH004175",

language = "English (US)",

volume = "202",

pages = "1021--1042",

journal = "Sbornik Mathematics",

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publisher = "Steklov Mathematical Institute of Russian Academy of Sciences",

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T1 - Classification of almost toric singularities of Lagrangian foliations

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PY - 2011

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N2 - The topological classification is given of almost toric singularities of integrable Hamiltonian systems with a large number of degrees of freedom, that is, of nondegenerate singularities without hyperbolic components. A descriptive geometric model is constructed, which makes it possible to perform effective calculations.

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KW - Hamiltonian systems

KW - Integrability

KW - Lagrangian foliations

KW - Singularities

KW - Topological invariants

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DO - 10.1070/SM2011v202n07ABEH004175

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EP - 1042

JO - Sbornik Mathematics

JF - Sbornik Mathematics

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ER -

Classification of almost toric singularities of Lagrangian foliations

Abstract

Keywords

ASJC Scopus subject areas

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