Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-24T02:15:57.595Z Has data issue: false hasContentIssue false
  • English
  • Français

INTERSECTION COHOMOLOGY OF SYMPLECTIC QUOTIENTS BY CIRCLE ACTIONS

Published online by Cambridge University Press:  06 April 2005

YOUNG-HOON KIEM  and
JONATHAN WOOLF
YOUNG-HOON KIEM
Affiliation:
Department of Mathematics, Seoul National University, Seoul 151-747, [email protected]
JONATHAN WOOLF
Affiliation:
Christ's College, University of Cambridge, Cambridge, CB2 3BU, United [email protected]
Get access

Abstract

Let $T=U(1)$ and $M$ be a Hamiltonian $T$-space with proper moment map $\mu\,{:}\,M\longrightarrow \rr$. When 0 is not a regular value of $\mu$, the symplectic quotient $X=\mu^{-1}(0)/T$ is a singular stratified space. A description is provided of the middle perversity intersection cohomology of $X$ as a subspace of the equivariant cohomology $H^*_T(\mu^{-1}(0))$. The approach is sheaf theoretic.

Keywords

55N3355N9153D20
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 71 , Issue 2 , April 2005 , pp. 531 - 544
Copyright
The London Mathematical Society 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)