A quantum Kirwan map : bubbling and Fredholm theory for symplectic vortices over the plane
著者
書誌事項
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
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注記
"Volume 230, number 1082 (fourth of 5 numbers), July 2014"
Includes bibliographical references (p. 127-129)
内容説明・目次
内容説明
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.
目次
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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