English

Cohomological localization for manifolds with boundary

Differential Geometry 2007-05-23 v1 Algebraic Topology Symplectic Geometry

Abstract

For an S1S^{1}-manifold with boundary, we prove a localization formula applying to any equivariant cohomology theory satisfying a certain algebraic condition. We show how the localization result of Kalkman and a case of the quantization commutes with reduction theorem follow easily from the localization formula.

Keywords

Cite

@article{arxiv.math/9908002,
  title  = {Cohomological localization for manifolds with boundary},
  author = {David S. Metzler},
  journal= {arXiv preprint arXiv:math/9908002},
  year   = {2007}
}

Comments

14 pages

R2 v1 2026-07-22T18:04:03.315Z