Crossed flux homomorphisms and vanishing theorems for flux groups

Details Crossed flux homomorphisms and vanishing theorems for flux groups Crossed flux homomorphisms and vanishing theorems for flux groups

2005-03-12

arxiv.org/abs/math/0503230v2

Geom. Funct. Anal. 16 (2006), 1246--1273

Mathematics

Algebraic Topology

improved presentation, now 20 pages

Scientific paper

10.1007/s00039-006-0578-3

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.

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