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most citedIntroduction to sh Lie algebras for physicists

625 citations · 1.6k across the 32 of their papers we have counts for

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math.AT2022

Representations up to coherent homotopy

Tim Porter, Jim Stasheff

Homotopy coherence has a considerable history, albeit also by other names. We provide a brief semi-historical survey providing some links that may not be common knowledge.

math.AT2022

Homotopy coherent representations

Tim Porter, Jim Stasheff

Homotopy coherence has a considerable history, albeit also by other names. For this volume highlighting symmetries, the appropriate use is: Homotopy coherence of representations, a…

math.AT2016★ 1 cited

How Dennis realized he had `invented' -algebras a.k.a. strongly homotopy Lie algebras

Jim Stasheff

This is my attempt to rediscover how Dennis realized that he had discovered/invented -algebras a.k.a. strongly homotopy Lie algebras before my colleagues and I defined th…

math.AT2013★ 1 cited

-actions and Recognition of Relative Loop Spaces

Eduardo Hoefel, Muriel Livernet, Jim Stasheff

We show that relative loop spaces are recognized by -actions. A certain version of the 2-sided bar construction is used to prove such recognition theorem. The operad ${\s…

math.AT2011

"Parallel" transport - revisited

Jim Stasheff

Parallel transport in a fibre bundle with respect to smooth paths in the base space B have recently been extended to representations of the smooth singular simplicial set Sing_{smo…

math.AT2010★ 103 cited

Čech cocycles for differential characteristic classes -- An infinity-Lie theoretic construction

Domenico Fiorenza, Urs Schreiber, Jim Stasheff

What are called secondary characteristic classes in Chern-Weil theory are a refinement of ordinary characteristic classes of principal bundles from cohomology to differential cohom…