Batalin-Vilkovisky Lie Algebra Structure on the Loop Homology of Complex Stiefel Manifolds

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dc.creatorTamanoi, Hirotaka
dc.date2007-03-14
dc.date.accessioned2026-07-07T07:51:53Z
dc.date.available2026-07-07T07:51:53Z
dc.descriptionWe determine the Batalin-Vilkovisky Lie algebra structure for the integral loop homology of special unitary groups and complex Stiefel manifolds. It is shown to coincide with the Poisson algebra structure associated to a certain odd symplectic form on a super vector space for which loop homology is the super algebra of functions. Over rationals, the loop homology of the above spaces splits into a tensor product of simple BV algebras, and it is shown to contain a super Lie algebra.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0703404
dc.identifierhttp://arxiv.org/abs/math/0703404
dc.identifierInternational Mathematics Research Notices, Volume 2006, Article ID 97193
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125681
dc.subjectAlgebraic Topology
dc.subject55P35
dc.titleBatalin-Vilkovisky Lie Algebra Structure on the Loop Homology of Complex Stiefel Manifolds
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