Categorification in Geometry, Topology, and Physics

Categorification in Geometry, Topology, and Physics
Author :
Publisher : American Mathematical Soc.
Total Pages : 282
Release :
ISBN-10 : 9781470428211
ISBN-13 : 1470428210
Rating : 4/5 (210 Downloads)

Book Synopsis Categorification in Geometry, Topology, and Physics by : Anna Beliakova

Download or read book Categorification in Geometry, Topology, and Physics written by Anna Beliakova and published by American Mathematical Soc.. This book was released on 2017-02-21 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, revealing richer and more robust structures capable of describing more complex phenomena. Categorification is a powerful tool for relating various branches of mathematics and exploiting the commonalities between fields. It provides a language emphasizing essential features and allowing precise relationships between vastly different fields. This volume focuses on the role categorification plays in geometry, topology, and physics. These articles illustrate many important trends for the field including geometric representation theory, homotopical methods in link homology, interactions between higher representation theory and gauge theory, and double affine Hecke algebra approaches to link homology. The companion volume (Contemporary Mathematics, Volume 683) is devoted to categorification and higher representation theory.


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