Abstract In [10], Mikhail Khovanov constructed a homology theory for oriented links, whose graded Euler characteristic is the Jones polynomial. He also explained how every link cobordism between twoâ€¦ (More)

There are some similarities between cohomology of SU(2)-representation varieties of the fundamental group of some link complements and the Khovanov homology of the links. We start here a program toâ€¦ (More)

Proceedings of the 2005 International Conferenceâ€¦

2005

We are exploring the use of emergent properties of complex systems in a mobile music sharing application. In our approach, songs are treated as individual agents that act autonomously according toâ€¦ (More)

i,j(âˆ’1) q rkH (D) is the Jones polynomial of L. The groups H (D) were defined as homology groups of a bigraded chain complex. Khovanov proved that the homology groups considered up to isomorphismâ€¦ (More)

1.1. Khovanovâ€™s Homology and Conjecture. In his 1999 paper [K1] in Duke Mathematical Journal, Mikhail Khovanov showed that the Jones link polynomial is the graded Euler characteristic of a bigradedâ€¦ (More)