P. Kronheimer
Geometry and Topology · 2003–2015
A researcher in the Science corpus: 11 papers; trusts 25 researchers and is trusted by 49 researchers here, as inferred from the citation graph.
Subfields
- Geometry and Topology — 53 citations into it; #307 of 7,422 by trust here, #382 by citations
- Mathematical Physics — 48 citations into it; #430 of 8,562 by trust here, #494 by citations
- Computational Theory and Mathematics — 21 citations into it; #4,155 of 12,182 by trust here, #7,501 by citations
- Discrete Mathematics and Combinatorics — 20 citations into it; #1,367 of 2,017 by trust here, #1,692 by citations
- Neurology — 11 citations into it; #57 of 1,455 by trust here, #605 by citations
Whom P. Kronheimer trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Peter S. Ozsv'ath
- Jacob Rasmussen
- Andr'as Juh'asz
- T. Mrowka
- Zolt'an Szab'o
- Mikhail Khovanov
- Yi Ni
- Y. Eliashberg
- Andrew Lobb
- R. Roberts
Who trusts P. Kronheimer overall
- Michael Hutchings
- M. Hedden
- T. Mrowka
- Clifford H. Taubes
- Ciprian Manolescu
- Christopher Scaduto
- Peter S. Ozsv'ath
- J. Bloom
- E. Witten
- Kristen Hendricks
Papers from P. Kronheimer's perspective
Ordered by how strongly the researchers P. Kronheimer trusts endorse each paper. Same corpus, a different order for every researcher.
- Floer homology and knot complements
- Holomorphic disks and knot invariants
- Knot Floer homology and the four-ball genus
- The Superpolynomial for Knot Homologies (Experimental Mathematics)
- Knot Floer homology detects genus-one fibred knots
- Knot Floer homology detects fibred knots
- Khovanov homology and the slice genus
- A link invariant from the symplectic geometry of nilpotent slices
- Laminations and groups of homeomorphisms of the circle
- Holomorphic discs and sutured manifolds
Their papers
- Knot homology groups from instantons (2008) — 157 citations
- Tait colorings, and an instanton homology for webs and foams (2015) — 47 citations
- Gauge theory and Rasmussen's invariant (2011) — 51 citations
- Khovanov homology is an unknot-detector (2010) — 337 citations
- Instanton Floer homology and the Alexander polynomial (2009) — 59 citations
- Knots, sutures, and excision (2008) — 189 citations
- Monopoles and Three-Manifolds (2008) — 448 citations
- A hyperkahler structure on the cotangent bundle of a complex Lie group (2004) — 61 citations
- Dehn surgery, the fundamental group and SU(2) (2003) — 83 citations
- FLOER HOMOLOGY GROUPS IN YANG–MILLS THEORY (Cambridge Tracts in Mathematics 147) By S. K. D ONALDSON : 236 pp., £50.00 (US$75.00), ISBN 0 521 80803 0 (Cambridge University Press, 2002). (2003) — 76 citations
- Monopoles and lens space surgeries (2003) — 301 citations