nLab Jim Stasheff

• Jim Stasheff’s home page

• interview by Kathryn Hess: video

• John McCleary, An appreciation of the work of Jim Stasheff (pdf)

Selected writings

On $A_n$-spaces and A-∞ algebras:

• Jim Stasheff, Homotopy associativity of H-spaces I, Trans. Amer. Math. Soc. 108 2 (1963) 275-292 [doi:10.2307/1993608]

• Jim Stasheff, Homotopy associativity of H-spaces II 108 2 (1963) 293-312 [doi:10.2307/1993609, doi:10.1090/S0002-9947-1963-0158400-5]

On characteristic classes:

• John Milnor, Jim Stasheff, Characteristic classes, Princeton Univ. Press (1974) (ISBN:9780691081229, doi:10.1515/9781400881826, pdf)

On the simplicial de Rham complex and equivariant de Rham cohomology:

• Raoul Bott, Herbert Shulman, Jim Stasheff, On the de Rham theory of certain classifying spaces, Advances in Mathematics, Volume 20, Issue 1, April 1976, Pages 43-56 (doi:10.1016/0001-8708(76)90169-9, pdf)

On dg-Lie algebras and L-∞ algebras:

• Jim Stasheff, Differential graded Lie algebras, quasi-Hopf algebras and higher homotopy algebras, in Quantum groups Number 1510 in Lecture Notes in Math. Springer, Berlin, 1992

• Tom Lada, Jim Stasheff, Introduction to sh Lie algebras for physicists, Int. J. Theo. Phys. 32 (1993), 1087–1103. (arXiv:hep-th/9209099)

On connections on principal ∞-bundles:

• Hisham Sati, Urs Schreiber, Jim Stasheff, L-∞ algebra connections and applications to String- and Chern-Simons n-transport, in: Quantum Field Theory, Birkhäuser (2009) 303-424 (arXiv:0801.3480, doi:10.1007/978-3-7643-8736-5_17)

• Domenico Fiorenza, Urs Schreiber, Jim Stasheff, Cech cocycles for differential characteristic classes – An $\infty$-Lie theoretic construction, Advances in Theoretical and Mathematical Physics, Volume 16 Issue 1 (2012), pages 149-250 (arXiv:1011.4735, euclid:atmp/1358950853)

On differential string structures:

• Hisham Sati, Urs Schreiber, Jim Stasheff, Twisted Differential String and Fivebrane Structures, Communications in Mathematical Physics, October 2012, Volume 315, Issue 1, pp 169-213 (arXiv:0910.4001, doi:10.1007/s00220-012-1510-3)

On homotopy theory in physics:

• Jim Stasheff, A Survey of Cohomological Physics

On recognition of relative loop spaces:

• Eduardo Hoefel, Muriel Livernet, Jim Stasheff, $A_\infty$-actions and recognition of relative loop spaces, Topology and its Applications 206 (2016) 126-147 [arXiv:1312.7155, doi:10.1016/j.topol.2016.03.023]

A proposal for understanding tensor hierarchies as L-infinity algebra-refinenents of Leibniz algebras:

• Sylvain Lavau, Jim Stasheff, $L_\infty$-algebra extensions of Leibniz algebras (arXiv:2003.07838)

Related $n$Lab entries

• associahedron

• A-infinity-operad

• A-infinity-category

• H-space

• L-infinity algebra

• simplicial de Rham complex

• string field theory

category: people