Stasheff J. Higher holonomy. Representations up to homotopy (abstract)

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Speaker: Jim Stasheff

Title: Higher holonomy. Representations up to homotopy

Given a connection for a smooth vector bundle , parallel transport with respect to smooth paths in the base space provides a correspondence between smooth vector bundles with flat connection on and representations of . Based in part on earlier groundbreaking work of K.T. Chen, recently this correspondence has been enhanced to the level of smooth paths (not homotopy classes) in the base space and differential graded vector bundles with generalized flat connections.

Slides: StasheffAMVconf2021slides.pdf

Event: Diffieties, Cohomological Physics, and Other Animals, 13-17 December 2021, Moscow.
Alexandre Vinogradov Memorial Conference.