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arXiv 0802.0628math.SGmath.GT
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切触三维流形中勒让德纽结的Heegaard Floer不变量

Heegaard Floer invariants of Legendrian knots in contact three--manifolds

Paolo Lisca, Peter Ozsváth, András I. Stipsicz, Zoltán Szabó

摘要:

本文定义了切触三维流形中的零同调勒让德不变量和横结不变量。不变量由基本光滑结的结弗洛尔同调的元素决定。我们计算这些不变量,并表明,他们不消失的某些非松散的结过扭曲的3-球。此外,我们还应用这些不变量在许多超扭切触3-流形中寻找了横截非单纽结类型。

英文摘要:

We define invariants of null--homologous Legendrian and transverse knots in contact 3--manifolds. The invariants are determined by elements of the knot Floer homology of the underlying smooth knot. We compute these invariants, and show that they do not vanish for certain non--loose knots in overtwisted 3--spheres. Moreover, we apply the invariants to find transversely non--simple knot types in many overtwisted contact 3--manifolds.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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