An oddification of Khovanov's arc algebras

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