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• W2981003236 abstract "We extend the definition of Khovanov–Lee homology to links in connected sums of S1×S2’s and construct a Rasmussen-type invariant for null-homologous links in these manifolds. For certain links in S1×S2, we compute the invariant by reinterpreting it in terms of Hochschild homology. As applications, we prove inequalities relating the Rasmussen-type invariant to the genus of surfaces with boundary in the following 4-manifolds: B2×S2, S1×B3, CP2, and various connected sums and boundary sums of these. We deduce that Rasmussen’s invariant also gives genus bounds for surfaces inside homotopy 4-balls obtained from B4 by Gluck twists. Therefore, it cannot be used to prove that such homotopy 4-balls are nonstandard." @default.
• W2981003236 created "2019-10-25" @default.
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• W2981003236 date "2023-02-01" @default.
• W2981003236 modified "2023-10-17" @default.
• W2981003236 title "A generalization of Rasmussen’s invariant, with applications to surfaces in some four-manifolds" @default.
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• W2981003236 doi "https://doi.org/10.1215/00127094-2022-0039" @default.
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