Homotopical quantum field theory

Homotopical quantum field theory

by Yau, Donald Y., (Donald Ying)

Type Book
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"This book provides a general and powerful definition of homotopy algebraic quantum field theory and homotopy prefactorization algebra using a new coend definition of the Boardman-Vogt construction for a colored operad. All of their homotopy coherent structures are explained in details, along with a comparison between the two approaches at the operad level. With chapters on basic category theory, trees, and operads, this book is self-contained and is accessible to graduate students"--Publisher'…

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Title Statements

  • Full title :Homotopical quantum field theory / Donald Yau.

Summary

"This book provides a general and powerful definition of homotopy algebraic quantum field theory and homotopy prefactorization algebra using a new coend definition of the Boardman-Vogt construction for a colored operad. All of their homotopy coherent structures are explained in details, along with a comparison between the two approaches at the operad level. With chapters on basic category theory, trees, and operads, this book is self-contained and is accessible to graduate students"--Publisher's description

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Edition Statements

  • Publication Date:©2020

Publication Statements

The Physical Object

  • Description:1 online resource (xi, 298 pages) : : illustrations

Edition Identifiers

  • ISBN:9789811212864, 9811212864
  • oclc:on1129801407
  • LC Classification:QC174.45
  • Dewey Decimal:530.143

Table of Contents

Category theory -- Trees -- Colored operads -- Constructions on operads -- Boardman-Vogt construction of operads -- Algebras over the Boardman-Vogt construction -- Algebraic quantum field theories -- Homotopy algebraic quantum field theories -- Prefactorization algebras -- Homotopy prefactorization algebras -- Comparing prefactorization algebras and AQFT.

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