Crossed flux homomorphisms and vanishing theorems for flux groups

J. Kedra; D. Kotschick; S. Morita

doi:10.1007/S00039-006-0578-3

Crossed flux homomorphisms and vanishing theorems for flux groups

J. Kedra, D. Kotschick, S. Morita

Mathematical Science

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

11 Citations (Scopus)

Abstract

We study the flux homomorphism for closed forms of arbitrary degree, with special emphasis on volume forms and on symplectic forms. The volume flux group is an invariant of the underlying manifold, whose non-vanishing implies that the manifold resembles one with a circle action with homologically essential orbits.

Original language	English
Pages (from-to)	1246-1273
Number of pages	27
Journal	Geometric and Functional Analysis
Volume	16
Issue number	6
DOIs	https://doi.org/10.1007/S00039-006-0578-3
Publication status	Published - Dec 2006

Keywords

flux homomorphism
flux group
minimal volume entropy

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title = "Crossed flux homomorphisms and vanishing theorems for flux groups",

abstract = "We study the flux homomorphism for closed forms of arbitrary degree, with special emphasis on volume forms and on symplectic forms. The volume flux group is an invariant of the underlying manifold, whose non-vanishing implies that the manifold resembles one with a circle action with homologically essential orbits.",

keywords = "flux homomorphism, flux group, minimal volume entropy",

author = "J. Kedra and D. Kotschick and S. Morita",

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AU - Kedra, J.

AU - Kotschick, D.

AU - Morita, S.

PY - 2006/12

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N2 - We study the flux homomorphism for closed forms of arbitrary degree, with special emphasis on volume forms and on symplectic forms. The volume flux group is an invariant of the underlying manifold, whose non-vanishing implies that the manifold resembles one with a circle action with homologically essential orbits.

AB - We study the flux homomorphism for closed forms of arbitrary degree, with special emphasis on volume forms and on symplectic forms. The volume flux group is an invariant of the underlying manifold, whose non-vanishing implies that the manifold resembles one with a circle action with homologically essential orbits.

KW - flux homomorphism

KW - flux group

KW - minimal volume entropy

U2 - 10.1007/S00039-006-0578-3

DO - 10.1007/S00039-006-0578-3

M3 - Article

SN - 1016-443X

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SP - 1246

EP - 1273

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

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ER -

Crossed flux homomorphisms and vanishing theorems for flux groups

Abstract

Keywords

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