Title 



Hypercontact structures and Floer homology


Author 





Abstract 



We introduce a new Floer theory associated to a pair consisting of a Cartan hypercontact 3manifold 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 3dimensional perturbed nonlinear Dirac equation.  

Language 



English


Source (journal) 



Geometry and topology.   

Publication 



2009


ISSN 



14653060 [print]
13640380 [online]


Volume/pages 



13(2009), p. 25432617


ISI 



000268177200001


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