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Higher Structures and Operadic Calculus

Posted By: hill0
Date: 18 Apr 2025 17:34:47
Higher Structures and Operadic Calculus

Higher Structures and Operadic Calculus
English | 2025 | ISBN: 3031777786 | 350 Pages | PDF EPUB (True) | 21 MB

Since their introduction 60 years ago, the notions of infinity algebras (Stasheff, Sugawara), higher categories (Boardman-Vogt), operads (May), and model categories (Quillen) have given rise to powerful new tools which made possible the resolution of open problems and prompted revolutions in many domains like algebraic topology (rational homotopy theory, faithful algebraic invariants of the homotopy type of spaces), deformation theory (formality theorems, formal moduli problems), and mathematical physics (quantization of Poisson manifolds, quantum field theories), to name but a few.
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