English

Crossed flux homomorphisms and vanishing theorems for flux groups

Algebraic Topology 2007-08-21 v2 Differential Geometry Geometric Topology Symplectic Geometry

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

Cite

@article{arxiv.math/0503230,
  title  = {Crossed flux homomorphisms and vanishing theorems for flux groups},
  author = {J. Kedra and D. Kotschick and S. Morita},
  journal= {arXiv preprint arXiv:math/0503230},
  year   = {2007}
}

Comments

improved presentation, now 20 pages