Strong homotopy inner product of an A-infinity algebra

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dc.creatorCho, Cheol-Hyun
dc.date2007-09-26
dc.date.accessioned2026-07-07T08:32:22Z
dc.date.available2026-07-07T08:32:22Z
dc.descriptionWe introduce a strong homotopy notion of a cyclic symmetric inner product of an A-infinity algebra and prove a characterization theorem in the formalism of the infinity inner products by Tradler. We also show that it is equivalent to the notion of a non-constant symplectic structure on the corresponding formal non-commutative supermanifold. We show that (open Gromov-Witten type) potential for a cyclic filtered A-infinity algebra is invariant under the cyclic filtered A-infinity homomorphism up to reparametrization, cyclization and a constant addition, generalizing the work of Kajiura.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0709.4189
dc.identifierhttp://arxiv.org/abs/0709.4189
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138774
dc.subjectAlgebraic Topology
dc.subjectSymplectic Geometry
dc.subject46CXX, 53DXX
dc.titleStrong homotopy inner product of an A-infinity algebra
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