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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

529 52- PDF

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

563 47- PDF

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

197 30- PDF

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

233 13

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

85 12- PDF

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

82 12- PDF

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

99 11- PDF

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

93 11- PDF

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