English

Lagrangian boundary conditions for anti-self-dual instantons and the Atiyah-Floer conjecture

Symplectic Geometry 2007-05-23 v1 General Topology

Abstract

The purpose of this survey is to explain an approach to the Atiyah-Floer conjecture via a new instanton Floer homology with Lagrangian boundary conditions. This is a joint project with Dietmar Salamon. This paper also provides a rough guide to the analysis of anti-self-dual instantons with Lagrangian boundary conditions (in earlier papers), which is the crucial ingredient of our approach.

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Cite

@article{arxiv.math/0607316,
  title  = {Lagrangian boundary conditions for anti-self-dual instantons and the Atiyah-Floer conjecture},
  author = {Katrin Wehrheim},
  journal= {arXiv preprint arXiv:math/0607316},
  year   = {2007}
}

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survey