Quantum and Floer cohomology have the same ring structure

dc.creatorPiunikhin, Sergey
dc.date1994-01-26
dc.date1994-05-25
dc.date.accessioned2026-07-07T09:01:28Z
dc.date.available2026-07-07T09:01:28Z
dc.descriptionThe action of the total cohomology $H^*(M)$ of the almost Kahler manifold $M$ on its Floer cohomology, int roduced originally by Floer, gives a new ring structure on $H^*(M)$. We prove that the total cohomology space $H^* (M)$, provided with this new ring structure, is isomorphic to the quantum cohomology ring. As a special case, we prove the the formula for the Floer cohomology ring of the complex grassmanians conjectured by Vafa and Witten.
dc.description62 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9401130
dc.identifierhttp://arxiv.org/abs/hep-th/9401130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148329
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleQuantum and Floer cohomology have the same ring structure
dc.typetext

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