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Homotopy associativity of $H$-spaces. II
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Introduction to SH Lie algebras for physicists
UNC-MATH-92/2originally April 27, 1990, revised September 24, 1992INTRODUCTION TO SH LIE ALGEBRAS FOR PHYSICISTSTom LadaJim StasheffMuch of point particle physics can be described in terms of Lie…
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Operads in algebra, topology, and physics
'Operads are powerful tools, and this is the book in which to read about them' - ""Bulletin of the London Mathematical Society"". Operads are mathematical devices that describe algebraic structures…
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Obstructions to homotopy equivalences
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The Lie algebra structure of tangent cohomology and deformation theory
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H-Spaces from a Homotopy Point of View
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Deformation theory and rational homotopy type
We regard the classification of rational homotopy types as a problem in algebraic deformation theory: any space with given cohomology is a perturbation, or deformation, of the "formal" space with…
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Homotopy Algebras Inspired by Classical Open-Closed String Field Theory
TLDR
It is shown that the OCHA is actually a homotopy invariant notion; for instance, the minimal model theorem holds and the general scheme for deformation of open string structures by closed strings is given.
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The sh Lie Structure of Poisson Brackets in Field Theory
Abstract:A general construction of an sh Lie algebra (L∞-algebra) from a homological resolution of a Lie algebra is given. It is applied to the space of local functionals equipped with a Poisson…
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Differential homological algebra and homogeneous spaces
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