7 papers
Noether's variational theorem II and the BV formalism
Ron Fulp, Tom Lada, Jim Stasheff
We review the basics of the Lagrangian approach to field theory and recast Noether's Second Theorem formulated in her language of dependencies using a slight modernization of termi…
Sh-Lie algebras Induced by Gauge Transformations
Ron Fulp, Tom Lada, Jim Stasheff
The physics of ``particles of spin '' leads to representations of a Lie algebra of gauge parameters on a vector space of fields. Attempts to develop an analogous th…
Invitation to composition
L. Kluge, E. Paal, J. Stasheff
In 1963 [Ann. of Math. {\bf 78}, 267-288], Gerstenhaber invented a \emph{comp(osition)} calculus in the Hochschild complex of an associative algebra. In this paper, the first steps…
Formal solution of the master equation via HPT and deformation theory
Johannes Huebschmann, Jim Stasheff
We construct a solution of the master equation by means of standard tools from homological perturbation theory under just the hypothesis that the ground field be of characteristic…
Grafting Boardman's Cherry Trees to Quantum Field Theory
Jim Stasheff
Michael Boardman has been a major contributor to the theory of infinite loop spaces and higher homotopy algebra. Indeed Boardman was the first to refer to `homotopy everything'. On…
The (secret?) homological algebra of the Batalin-Vilkovisky approach
Jim Stasheff
This is a survey of `Cohomological Physics', a phrase that first appeared in the context of anomalies in gauge theory. Differential forms were implicit in physics at least as far b…