Academic Commons

Theses Doctoral

Hopfological Algebra

Qi, You

We develop some basic homological theory of hopfological algebra as defined by Khovanov. A simplicial bar resolution for an arbitrary hopfological module is constructed, and some derived analogue of Morita theory is established. We also discuss about some special classes of examples that appear naturally in categorification.

Files

  • thumnail for Qi_columbia_0054D_11225.pdf Qi_columbia_0054D_11225.pdf binary/octet-stream 679 KB Download File

More About This Work

Academic Units
Mathematics
Thesis Advisors
Khovanov, Mikhail
Degree
Ph.D., Columbia University
Published Here
May 1, 2013