English

An oddification of Khovanov's arc algebras

Quantum Algebra 2015-10-23 v1

Abstract

In this master thesis we construct an oddification of the rings HnH^n from arXiv:math/0103190 using the functor from arXiv:0710.4300 . This leads to a collection of non-associative rings OHCnOH^n_C where CC represent some choices of signs. Extending the center up to anti-commutative elements, we get a ring OZ(OHCn)OZ(OH^n_C) which is isomorphic to the oddification of the ring cohomology of the (n,n)(n,n)-Springer variety from arXiv:1203.0797 .

Keywords

Cite

@article{arxiv.1510.06650,
  title  = {An oddification of Khovanov's arc algebras},
  author = {Grégoire Naisse},
  journal= {arXiv preprint arXiv:1510.06650},
  year   = {2015}
}

Comments

This master thesis is written in French but there is an English summary at the beginning of it