Higher Structures in Topology, Geometry, and Physics

Exploring the intricate interplay of geometry, topology and algebra, the volume surveys modern research on higher structures that underpin field theories. It examines advanced generalizations—from operads to models in conformal and string theories—and the algebraic and geometric frameworks that support these concepts.
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.

Contributor: Ralph M. Kaufmann (Edited by), Martin Markl (Edited by), Alexander A. Voronov (Edited by)

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