论文标题

SL(2,c)某些结上的手术的浮子共同体学

SL(2,C) Floer cohomology for surgeries on some knots

论文作者

Neithalath, Ikshu

论文摘要

我们建立了由Abouzaid和Manolescu所定义的捆捆的理论SL(2,c)浮子同胞HP(Y),用于S^3中的小结和SL(2,C)Casson不变的手术,按照Curtis的定义。我们确定了涉及框架理论SL(2,c)浮子同胞的类似公式,hp _#(y)。对于大多数双桥结上的手术,我们使用这些关系来计算HP和HP_#。我们还计算了两个非小all结和方形结上的HP手术。

We establish a relationship between the sheaf-theoretic SL(2,C) Floer cohomology HP(Y), as defined by Abouzaid and Manolescu, for Y a surgery on a small knot in S^3, and the SL(2,C) Casson invariant, as defined by Curtis. We determine a similar formula involving the framed sheaf-theoretic SL(2,C) Floer cohomology, HP_#(Y). We use these relationships to compute HP and HP_# for most surgeries on two-bridge knots. We also compute HP for surgeries on two non-small knots, the granny and square knots.

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