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Equivariant A-infinity algebras for nono...
Zernik, Amitai Netse...

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Equivariant A-infinity algebras for nonorientable Lagrangians by Zernik, Amitai Netser ( Author )
Lemonjar Open Access
N.A
14-12-2015
We set up an algebraic framework for the study of pseudoholomorphic discs bounding nonorientable Lagrangians, as well as equivariant extensions of such structures arising from a torus action. First, we define unital cyclic twisted A∞ algebras and prove some basic results about them, including a homological perturbation lemma which allows one to construct minimal models of such algebras. We then construct an equivariant extension of A∞ algebras which are invariant under a torus action on the underlying complex. Finally, we construct a homotopy retraction of the Cartan-Weil complex to equivariant cohomology, which allows us to construct minimal models for equivariant cyclic twisted A∞ algebras. In a forthcoming paper we will use these results to define and obtain fixed-point expressions for the open Gromov-Witten theory of RP2n↪CP2n, as well as its equivariant extension.
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Article
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36.88 KB
English
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MYR 0.01
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http://arxiv.org/abs/1512.04507
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