Vortex invariants and toric manifolds
From MaRDI portal
Publication:2794666
zbMATH Open1332.55001arXiv0812.0299MaRDI QIDQ2794666
Author name not available (Why is that?)
Publication date: 11 March 2016
Abstract: We consider the symplectic vortex equations for a linear Hamiltonian torus action. We show that the associated genus zero moduli space itself is homotopic (in the sense of a homotopy of regular G-moduli problems) to a toric manifold with combinatorial data directly obtained from the original torus action. This allows to view the wall crossing formula of Cieliebak and Salamon for the computation of vortex invariants as a consequence of a generalized Jeffrey-Kirwan localization formula for integrals over symplectic quotients.
Full work available at URL: https://arxiv.org/abs/0812.0299
No records found.
This page was built for publication: Vortex invariants and toric manifolds
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2794666)
