Michael Hutchings

Geometry and Topology · 2000–2017

A researcher in the Science corpus: 20 papers; trusts 58 researchers and is trusted by 43 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 161 citations into it; #133 of 7,422 by trust here, #140 by citations
• Mathematical Physics — 120 citations into it; #119 of 8,562 by trust here, #125 by citations
• Computational Theory and Mathematics — 46 citations into it; #1,273 of 12,182 by trust here, #2,565 by citations
• Applied Mathematics — 39 citations into it; #3,309 of 7,620 by trust here, #4,234 by citations
• Discrete Mathematics and Combinatorics — 27 citations into it; #56 of 2,017 by trust here, #34 by citations
• Demography — 13 citations into it
• Genetics — 13 citations into it
• Political Science and International Relations — 13 citations into it

Whom Michael Hutchings trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Clifford H. Taubes
2. P. Kronheimer
3. Peter S. Ozsv'ath
4. Frederick J. Bourgeois III
5. Y. Eliashberg
6. Michael C. Sullivan
7. Zolt'an Szab'o
8. T. Mrowka
9. D. Dragnev
10. Kai Cieliebak

Who trusts Michael Hutchings overall

1. Daniel Cristofaro-Gardiner
2. Richard Siefring
3. Andrew Cotton-Clay
4. Clifford H. Taubes
5. D. Mcduff
6. Jean Gutt
7. V. Colin
8. F. Schlenk
9. Çağatay Kutluhan
10. E. Witten

Papers from Michael Hutchings's perspective

Ordered by how strongly the researchers Michael Hutchings trusts endorse each paper. Same corpus, a different order for every researcher.

1. A Morse-Bott approach to contact homology
2. Introduction to Symplectic Field Theory
3. Compactness results in Symplectic Field Theory
4. Holomorphic disks and knot invariants
5. Fredholm theory and transversality for noncompact pseudoholomorphic mapsin symplectizations
6. THE WEINSTEIN CONJECTURE FOR PLANAR CONTACT STRUCTURES IN DIMENSION THREE
7. The symplectic sum formula for Gromov–Witten invariants
8. Lectures on Floer homology
9. Monopoles and Three-Manifolds
10. Quantitative embedded contact homology

Their papers

• Quantitative embedded contact homology (2010) — 165 citations
• The asymptotics of ECH capacities (2012) — 79 citations
• Beyond ECH capacities (2014) — 51 citations
• Symplectic capacities from positive S1–equivariant symplectic homology (2017) — 81 citations
• Torsion contact forms in three dimensions have two or infinitely many Reeb orbits (2017) — 63 citations
• Cylindrical contact homology for dynamically convex contact forms in three dimensions (2014) — 51 citations
• Lecture Notes on Embedded Contact Homology (2013) — 138 citations
• Symplectic embeddings into four‐dimensional concave toric domains (2013) — 65 citations
• Proof of the Arnold chord conjecture in three dimensions I (2011) — 57 citations
• Sutures and contact homology I (2010) — 55 citations
• Algebraic Torsion in Contact Manifolds (2010) — 60 citations
• Proof of the Arnold chord conjecture in three dimensions, II (2010) — 83 citations
• Taubes’s proof of the Weinstein conjecture in dimension three (2009) — 48 citations
• The embedded contact homology index revisited (2008) — 94 citations
• Gluing pseudoholomorphic curves along branched covered cylinders II (2007) — 155 citations
• The periodic Floer homology of a Dehn twist. (2004) — 61 citations
• Rounding corners of polygons and the embedded contact homology of T 3 (2004) — 73 citations
• Floer homology of families I (2003) — 49 citations
• An index inequality for embedded pseudoholomorphic curves in symplectizations (2001) — 160 citations
• The isoperimetric problem on surfaces of revolution of decreasing Gauss curvature (2000) — 55 citations