2013 Theses Doctoral

# Hopfological Algebra

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

- Qi_columbia_0054D_11225.pdf application/pdf 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