Categorification in Geometry, Topology, and Physics
Aaron D Lauda editor Anna Beliakova editor
Format:Paperback
Publisher:American Mathematical Society
Published:30th Mar '17
Currently unavailable, and unfortunately no date known when it will be back
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.
ISBN: 9781470428211
Dimensions: unknown
Weight: 420g
268 pages