Triple Cup Products in Heegaard Floer Homology

Triple Cup Products in Heegaard Floer Homology
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发表时间:
2012
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通讯作者:
Tye Lidman
Tye Lidman
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其他
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作者:
Tye Lidman

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作者:Lidman,Tye|顾问:Manolescu,Ciprian|翻译后摘要:Manolescu和Ozsvath最近开发了一个公式,用于计算Heegaard Floer同源性的整体手术的链接。我们使用他们的链接手术公式给出一个完整的计算(模2)的无穷味的Heegaard Floer同调的扭转Spinc结构在任何封闭的,可定向的三个流形上的杯积结构的积分上同调环。
Author(s): Lidman, Tye | Advisor(s): Manolescu, Ciprian | Abstract: Manolescu and Ozsvath have recently developed a formula for calculating the Heegaard Floer homologies of integral surgery on a link. We use their link surgery formula to give a complete calculation (mod 2) of the infinity flavor of Heegaard Floer homology for a torsion Spinc structure on any closed, orientable three-manifold in terms of the cup product structure on its integral cohomology ring.