Frobenius_infinity invariants of homotopy Gerstenhaber algebras I

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dc.creatorMerkulov, S. A.
dc.date2000-01-03
dc.date2000-05-08
dc.date.accessioned2026-07-07T04:33:11Z
dc.date.available2026-07-07T04:33:11Z
dc.descriptionWe construct a functor from the derived category of homotopy Gerstenhaber algebras with finite-dimensional cohomology to the purely geometric category of so-called $F_{\infty}$-manifolds. The latter contains Frobenius manifolds as a subcategory (so that a pointed Frobenius manifold is itself a homotopy Gerstenhaber algebra). If a homotopy Gerstenhaber algebra happens to be formal as a $L_{\infty}$-algebra, then its $F_{\infty}$-manifold comes equipped with the Gauss-Manin connection. Mirror Symmetry implications are discussed.
dc.descriptionMore details on the relationship between formality maps and Gauus-Manin connections are given in Sect.2.7
dc.identifierhttps://arxiv.org/abs/math/0001007
dc.identifierhttp://arxiv.org/abs/math/0001007
dc.identifierDuke Math. J. 105 (2000) , 411-461.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58476
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.titleFrobenius_infinity invariants of homotopy Gerstenhaber algebras I
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