P. B. Kronheimer

Best Publications

• The Geometry of Four-Manifolds

  Simon K. Donaldson;P. B. Kronheimer

  2307
  Citations

• The construction of ALE spaces as hyper-Kähler quotients

  Unknown

  536
  Citations

• The Genus of Embedded Surfaces in the Projective Plane

  Unknown

  474
  Citations

• Monopoles and lens space surgeries

  Peter Kronheimer;Tomasz Mrowka;Peter S. Ozsváth;Zoltán I. Szabó

  395
  Citations

• Yang-Mills instantons on ALE gravitational instantons.

  Peter B. Kronheimer;Hiraku Nakajima

  375
  Citations

• Monopoles and Three-Manifolds

  Unknown

  373
  Citations

• Gauge theory for embedded surfaces, I

  Unknown

  355
  Citations

• Khovanov homology is an unknot-detector

  Unknown

  249
  Citations

• A Torelli-type theorem for gravitational instantons

  Unknown

  239
  Citations

• Geometry of four-manifolds

  Simon K. Donaldson

  203
  Citations

• Embedded surfaces and the structure of Donaldson's polynomial invariants

  Unknown

  197
  Citations

• Monopoles and contact structures

  Unknown

  184
  Citations

• Instantons and the geometry of the nilpotent variety

  Unknown

  144
  Citations

• Knot homology groups from instantons

  Unknown

  125
  Citations

• A Hyper-KÄHlerian Structure on Coadjoint Orbits of a Semisimple Complex Group

  Unknown

  113
  Citations

• Knots, sutures, and excision

  Unknown

  108
  Citations

• Witten’s conjecture and Property P

  Unknown

  91
  Citations

• Recurrence relations and asymptotics\\ for four-manifold invariants

  Unknown

  85
  Citations

• Complete Ricci-flat Kåhler manifolds of infinite topological type

  Michael T. Anderson;Peter B. Kronheimer;Peter B. Kronheimer;Claude LeBrun

  78
  Citations

• Gauge theory for embedded surfaces, II

  Unknown

  68
  Citations