A quantum Kirwan map : bubbling and Fredholm theory for symplectic vortices over the plane
Author(s)
Bibliographic Information
A quantum Kirwan map : bubbling and Fredholm theory for symplectic vortices over the plane
(Memoirs of the American Mathematical Society, no. 1082)
American Mathematical Society, 2014, c2013
Available at 11 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
"Volume 230, number 1082 (fourth of 5 numbers), July 2014"
Includes bibliographical references (p. 127-129)
Description and Table of Contents
Description
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.
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
by "Nielsen BookData"