625 citations · 1.6k across the 32 of their papers we have counts for
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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.
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…
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…
-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…
"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…
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…
Twisted differential String and Fivebrane structures
Hisham Sati, Urs Schreiber, Jim Stasheff
In the background effective field theory of heterotic string theory, the Green-Schwarz anomaly cancellation mechanism plays a key role. Here we reinterpret it and its magnetic dual…
A twisted tale of cochains and connections
Jim Stasheff
Early in the history of higher homotopy algebra, it was realized that Massey products are homotopy invariants in a special sense, but it was the work of Tornike Kadeisvili that sho…
Fivebrane Structures
Hisham Sati, Urs Schreiber, Jim Stasheff
We study the cohomological physics of fivebranes in type II and heterotic string theory. We give an interpretation of the one-loop term in type IIA, which involves the first and se…
Homotopy Transition Cocycles
James Wirth, Jim Stasheff
For locally homotopy trivial fibrations, one can define transition functions $$ g\dab : U\da\cap U\db \to H = H(F)$$ where is the monoid of homotopy equivalences of to itse…
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…