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- Publications
- Influence
Introduction to SH Lie algebras for physicists
- T. Lada, J. Stasheff
- Mathematics, Physics
- 24 September 1992
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… Expand
Operads in algebra, topology, and physics
- M. Markl, S. Shnider, J. Stasheff
- Mathematics
- 2002
'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… Expand
Obstructions to homotopy equivalences
- S. Halperin, J. Stasheff
- Mathematics
- 1 June 1979
Abstract An obstruction theory is developed to decide when an isomorphism of rational cohomology can be realized by a rational homotopy equivalence (either between rationally nilpotent spaces, or… Expand
The Lie algebra structure of tangent cohomology and deformation theory
- M. Schlessinger, J. Stasheff
- Mathematics
- 1 November 1985
Abstract Tangent cohomology of a commutative algebra is known to have the structure of a graded Lie algebra; we account for this by exhibiting a differential graded Lie algebra (in fact, two of them)… Expand
The sh Lie Structure of Poisson Brackets in Field Theory
- G. Barnich, R. Fulp, T. Lada, J. Stasheff
- Physics, Mathematics
- 25 February 1997
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… Expand
Deformation theory and rational homotopy type
- M. Schlessinger, J. Stasheff
- Mathematics
- 7 November 2012
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… Expand
Perturbation Theory in Differential Homological Algebra II
- V. Gugenheim, L. Lambe, J. Stasheff
- 1989
Perturbation theory is a particularly useful way to obtain relatively small differential complexes representing a given chain homotopy type. An important part of the theory is “the basic perturbation… Expand
Homotopy Algebras Inspired by Classical Open-Closed String Field Theory
- H. Kajiura, J. Stasheff
- Mathematics, Physics
- 12 October 2004
We define a homotopy algebra associated to classical open-closed strings. We call it an open-closed homotopy algebra (OCHA). It is inspired by Zwiebach's open-closed string field theory and also is… Expand
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