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Gauge theory and Rasmussen's invariant

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arxiv 1110.1297 v3 pith:MCRNDNIG submitted 2011-10-06 math.GT

P. B. Kronheimer , T. S. Mrowka This is my paper · ORCID
classification math.GT
keywords counterpartgauge-theoryrasmussenadditiveauthorsclaimconnectedcontained
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A previous paper of the authors' contained an error in the proof of a key claim, that Rasmussen's knot-invariant s(K) is equal to its gauge-theory counterpart. The original paper is included here together with a corrigendum, indicating which parts still stand and which do not. In particular, the gauge-theory counterpart of s(K) is not additive for connected sums.

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  1. On the Kronheimer-Mrowka concordance invariant

    math.GT 2019-08 conditional novelty 8.0 of 10

    The Kronheimer-Mrowka instanton invariant s# is not additive under connected sums and differs from Rasmussen's s, and new link invariants s#_+ and s#_- are constructed and computed for torus links.

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