Publication
Title
Hypercontact structures and Floer homology
Author
Abstract
We introduce a new Floer theory associated to a pair consisting of a Cartan hypercontact 3-manifold M and a hyperkahler manifold X. The theory is a based on the gradient flow of the hypersymplectic action functional on the space of maps from M to X. The gradient flow lines satisfy a nonlinear analogue of the Dirac equation. We work out the details of the analysis and compute the Floer homology groups in the case where X is flat. As a corollary we derive an existence theorem for the 3-dimensional perturbed nonlinear Dirac equation.
Language
English
Source (journal)
Geometry and topology. - -
Publication
2009
ISSN
1465-3060 [print]
1364-0380 [online]
Volume/pages
13(2009), p. 2543-2617
ISI
000268177200001
Full text (Publishers DOI)
Full text (publishers version - intranet only)
UAntwerpen
Faculty/Department
Publication type
Subject
External links
Web of Science
Record
Identification
Creation 11.02.2015
Last edited 23.05.2017