A Quantum Kirwan Map: Bubbling and Fredholm Theory for Symplectic Vortices over the Plane
Author:   Fabian Ziltener
Publisher:   American Mathematical Society
Volume:   No. 230/1082
ISBN:  

9780821894729


Pages:   129
Publication Date:   30 June 2014
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
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A Quantum Kirwan Map: Bubbling and Fredholm Theory for Symplectic Vortices over the Plane


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Overview

Consider a Hamiltonian action of a compact connected Lie group on a symplectic manifold M,w. Conjecturally, under suitable assumptions there exists a morphism of cohomological field theories from the equivariant Gromov-Witten theory of M, w to the Gromov-Witten theory of the symplectic quotient. The morphism should be a deformation of the Kirwan map. The idea, due to D. A. Salamon, is to define such a deformation by counting gauge equivalence classes of symplectic vortices over the complex plane C. The present memoir is part of a project whose goal is to make this definition rigorous. Its main results deal with the symplectically aspherical case.

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Author:   Fabian Ziltener
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 230/1082
Weight:   0.020kg
ISBN:  

9780821894729


ISBN 10:   0821894722
Pages:   129
Publication Date:   30 June 2014
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Motivation and main results Bubbling for vortices over the plane Fredholm theory for vortices over the plane Appendix A. Auxiliary results about vortices, weighted spaces, and other topics Bibliography

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Fabian Ziltener, Korea Institute for Advanced Study, Seoul, Republic of Korea.

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