Instantons and odd Khovanov homology

被引:28
作者
Scaduto, Christopher W. [1 ]
机构
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
关键词
FLOER HOMOLOGY; INVARIANT; KNOTS;
D O I
10.1112/jtopol/jtv012
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct a spectral sequence from the reduced odd Khovanov homology of a link converging to the framed instanton homology of the double cover branched over the link, with orientation reversed. Framed instanton homology counts certain instantons on the cylinder of a 3-manifold connect-summed with a 3-torus. En route, we provide a new proof of Floer's surgery exact triangle for instanton homology using metric stretching maps, and generalize the exact triangle to a link surgeries spectral sequence. Finally, we relate framed instanton homology to Floer's instanton homology for admissible bundles.
引用
收藏
页码:744 / 810
页数:67
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