Invariants of 4–manifolds from Khovanov–Rozansky link homology

S. Morrison, K. Walker, Paul Wedrich
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引用次数: 14

Abstract

We use Khovanov-Rozansky gl(N) link homology to define invariants of oriented smooth 4-manifolds, as skein modules constructed from certain 4-categories with well-behaved duals. The technical heart of this construction is a proof of the sweep-around property, which makes these link homologies well defined in the 3-sphere.
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从Khovanov-Rozanskylink同调看4流形的不变量
利用Khovanov-Rozansky gl(N)连杆同调定义了定向光滑4流形的不变量,这些流形是由具有良好对偶的4范畴构成的串模。这种构造的技术核心是对环绕性的证明,这使得这些连杆同源物在3球中被很好地定义。
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