Homological Quantum Field Theory

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dc.creatorCastillo, Edmundo
dc.creatorDiaz, Rafael
dc.date2005-09-22
dc.date2008-06-23
dc.date.accessioned2026-07-07T09:47:33Z
dc.date.available2026-07-07T09:47:33Z
dc.descriptionWe show that the space of chains of smooth maps from spheres into a fixed compact oriented manifold has a natural structure of a transversal $d$-algebra. We construct a structure of transversal 1-category on the space of chains of maps from a suspension space $S(Y)$, with certain boundary restrictions, into a fixed compact oriented manifold. We define homological quantum field theories \HL and construct several examples of such structures. Our definition is based on the notions of string topology of Chas and Sullivan, and homotopy quantum field theories of Turaev.
dc.description18 figures
dc.identifierhttps://arxiv.org/abs/math/0509532
dc.identifierhttp://arxiv.org/abs/math/0509532
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163918
dc.subjectK-Theory and Homology
dc.subjectMathematical Physics
dc.subjectAlgebraic Topology
dc.titleHomological Quantum Field Theory
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