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Peter Kronheimer

Peter Kronheimer

· William Caspar Graustein Professor of Mathematics

Harvard University · Mathematics

Active 1981–2022

h-index31
Citations7.4k
Papers1028 last 5y
Funding$2.0M
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Research topics

  • Mathematical physics
  • Genetics
  • Mathematics
  • Combinatorics
  • Philosophy
  • Bioinformatics
  • Pure mathematics
  • Biology
  • Epistemology

Selected publications

  • Instantons and some concordance invariants of knots

    Journal of the London Mathematical Society · 2021 · 8 citations

    1st authorCorresponding
    • Mathematics
    • Pure mathematics
    • Combinatorics

    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.

Recent grants

Frequent coauthors

  • Tomasz Mrowka

    72 shared
  • Simon Donaldson

    15 shared
  • E. H. Kronheimer

    Birkbeck, University of London

    5 shared
  • Michael T. Anderson

    Stony Brook University

    2 shared
  • Ciprian Manolescu

    Stanford University

    2 shared
  • Peter Ozsváth

    Princeton University

    2 shared
  • Claude LeBrun

    Stony Brook University

    2 shared
  • Zoltán Szabó

    2 shared

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