Categorification in Geometry, Topology, and Physics

Ebook Details

Authors

Anna Beliakova, Aaron D. Lauda

Year 2017
Pages 268
Publisher Amer Mathematical Society
Language en
ISBN 9781470428211
File Size 2.42 MB
File Format PDF
Download Counter 133
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Ebook Description

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.