论文标题

奇数Khovanov同源性的扫描算法

A scanning algorithm for odd Khovanov homology

论文作者

Schuetz, Dirk

论文摘要

我们将Bar-Natan的扫描算法调整为(甚至)Khovanov同源性中的快速计算,以适应Odd Khovanov同源性。我们使用映射锥结构而不是张量产品,这使我们能够有效地处理奇怪理论中更复杂的标志分配。该算法已在计算机程序中实现。我们还使用该算法来确定3链圆环链接的奇数Khovanov同源性。

We adapt Bar-Natan's scanning algorithm for fast computations in (even) Khovanov homology to odd Khovanov homology. We use a mapping cone construction instead of a tensor product, which allows us to deal efficiently with the more complicated sign assignments in the odd theory. The algorithm has been implemented in a computer program. We also use the algorithm to determine the odd Khovanov homology of 3-strand torus links.

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