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Instantons and some concordance invariants of knots
Author(s)
Kronheimer, PB; Mrowka, TS
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Concordance invariants of knots are derived from the instanton homology groups with local coefficients, as introduced in earlier work of the authors. These concordance invariants include a 1-parameter family of homomorphisms (Formula presented.), from the knot concordance group to (Formula presented.). Prima facie, these concordance invariants have the potential to provide independent bounds on the genus and number of double points for immersed surfaces with boundary a given knot.
Date issued
2021Journal
Journal of the London Mathematical Society
Publisher
Wiley