论文标题

来自$ u(1)\ times u(1)$的一致性不变式 - 均值khovanov同源

Concordance invariants from $U(1) \times U(1)$-equivariant Khovanov homology

论文作者

Akhmechet, Rostislav, Zhang, Melissa

论文摘要

We study Khovanov homology over the Frobenius algebra $\mathbb{F}[U,V,X]/((X-U)(X-V))$, or $U(1) \times U(1)$-equivariant Khovanov homology, and extract two families of concordance invariants using the algebraic $U$-power and $V$-power filtrations on the chain complex.我们还进一步发展了该理论的简化版本,并研究了其在镜像下的行为。

We study Khovanov homology over the Frobenius algebra $\mathbb{F}[U,V,X]/((X-U)(X-V))$, or $U(1) \times U(1)$-equivariant Khovanov homology, and extract two families of concordance invariants using the algebraic $U$-power and $V$-power filtrations on the chain complex. We also further develop the reduced version of the theory and study its behavior under mirroring.

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