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Homotopy Batalin Vilkovisky algebras

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48 pages
Homotopy Batalin-Vilkovisky algebras Homotopy Batalin-Vilkovisky algebras Bruno VALLETTE (Universite de Nice Sophia-Antipolis/MPIM) Seminar on Algebra, Geometry and Physics (MPIM, 14/09/09) Joint work with Imma Galvez and Andy Tonks

  • homotopy batalin-vilkovisky

  • algebras

  • bv-algebra

  • universite de nice - sophia-antipolis

  • µ2 ?


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oHomotypBtalaniV-liokvsiyklaegrbsaHomotopyBatalin-VilkoviskyalgebrasBrunoVALLETTE(Universite´deNiceSophia-Antipolis/MPIM)SeminaronAlgebra,GeometryandPhysics(MPIM,14/09/09)JointworkwithImmaGa´lvezandAndyTonks
oHomotypBtalaniV-liokvsikOverview123ylaegrbsaHomotopyalgebrasandoperadsDefinitionofhomotopyBV-algebraHomotopyanddeformationtheoryofalgebras
oHomotypBtalaniV-liokvsiyklaegbHomotopyalgebrasandoperadsOverview123arsHomotopyalgebrasandoperadsDefinitionofhomotopyBV-algebraHomotopyanddeformationtheoryofalgebras
sarbeglaevitaicossaypotomoHsdarepodnasarbeglaypotomoHsarbeglayksivokliV-nilataBypotomoH=“Thedisadvantageoftopologicalgroupsandmonotheydonotliveinhomotopytheory”[MacLane’sseminarattheUniversityofChicago1967]tubνassociativeuptohomotopyX,Yhomotopyequivalenttopologicalspaces:XYX×XµXassociativeproducttransferY×YνYAssociativealgebrasandhomotopy[Stasheff63]tahtsisdi