The cohomology ring of symplectic cuts

Jean-Claude Hausmann; Allen Knutson

The cohomology ring of symplectic cuts

Symplectic Geometry 2007-05-23 v3 Algebraic Geometry Algebraic Topology Differential Geometry

Authors: Jean-Claude Hausmann , Allen Knutson

Abstract

The ``symplectic cut'' construction [Lerman] produces two symplectic orbifolds $C_-$ and $C_+$ from a symplectic manifold $M$ with a Hamiltonian circle action. We compute the rational cohomology ring of $C_+$ in terms of those of $M$ and $C_-$ .

Keywords

symplectic cut symplectic orbifold hamiltonian circle action rational cohomology ring

Cite

@article{arxiv.math/9807018,
  title  = {The cohomology ring of symplectic cuts},
  author = {Jean-Claude Hausmann and Allen Knutson},
  journal= {arXiv preprint arXiv:math/9807018},
  year   = {2007}
}

Comments

8 pages, no pictures, LaTeX twice. Fixed some indices (that don't affect the result), and added a comment on alternate methods of calculation

The cohomology ring of symplectic cuts

Abstract

Keywords

Cite

Comments

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