Higher Structures in Topology, Geometry, and Physics (Paperback)

Paperback. This volume contains the proceedings of the AMS Special Session on Higher Structures in Topology, Geometry, and Physics, held virtually on March 26-27, 2022. The articles give a snapshot survey of the current topics surrounding the mathematical formulation of field theories. There is an intricate interplay between geometry, topology, and algebra which captures these theories. The hallmark are higher structures, which one can consider as the secondary algebraic or geometric background on which the theories are formulated. The higher structures considered in the volume are generalizations of operads, models for conformal field theories, string topology, open/closed field theories, BF/BV formalism, actions on Hochschild complexes and related complexes, and their geometric and topological aspects. Exploring the intricate interplay of geometry, topology and algebra, the volume surveys modern research on higher structures that underpin field theories. It examines advanced generalizationsfrom operads to models in conformal and string theoriesand the algebraic and geometric frameworks that support these concepts. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…