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Title
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Hypercontact structures and Floer homology
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Author
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Abstract
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| 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. |
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Language
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English
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Source (journal)
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Geometry and topology. - -
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Publication
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2009
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ISSN
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1465-3060
[print]
1364-0380
[online]
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DOI
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10.2140/GT.2009.13.2543
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Volume/pages
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13
(2009)
, p. 2543-2617
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ISI
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000268177200001
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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