Gauge theory and Rasmussen's invariant

Gauge theory and Rasmussen's invariant

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 particula...

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Bibliographic Details
Main Authors: Kronheimer, P. B, Mrowka, T. S
Format: Journal Article
Language:English
Published: 19-07-2019
Subjects:
Mathematics - Geometric Topology
Online Access:Get full text
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Summary: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.
DOI:10.48550/arxiv.1110.1297