2 00 3 Categorifications of the colored Jones polynomial

نویسنده

  • Mikhail Khovanov
چکیده

The colored Jones polynomial of links has two natural normalizations: one in which the n-colored unknot evaluates to [n + 1], the quantum dimension of the (n + 1)-dimensional irreducible representation of quantum sl(2), and the other in which it evaluates to 1. For each normalization we construct a bigraded cohomology theory of links with the colored Jones polynomial as the Euler characteristic.

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تاریخ انتشار 2008