M. Abouzaid

Geometry and Topology · 2005–2015

A researcher in the Science corpus: 16 papers; trusts 70 researchers and is trusted by 61 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 177 citations into it; #74 of 7,422 by trust here, #160 by citations
• Mathematical Physics — 146 citations into it; #71 of 8,562 by trust here, #151 by citations
• Applied Mathematics — 23 citations into it
• Algebra and Number Theory — 16 citations into it
• Statistical and Nonlinear Physics — 16 citations into it
• Experimental and Cognitive Psychology — 15 citations into it
• Discrete Mathematics and Combinatorics — 11 citations into it; #274 of 2,017 by trust here, #386 by citations
• Computational Theory and Mathematics — 9 citations into it

Whom M. Abouzaid trusts overall

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

1. P. Seidel
2. Alberto Abbondandolo
3. M. Kontsevich
4. A. Oancea
5. K. Fukaya
6. T. Ekholm
7. M. Schwarz
8. G. Mikhalkin
9. Y. Soibelman
10. P. Biran

Who trusts M. Abouzaid overall

1. D. Auroux
2. I. Smith
3. Nick Sheridan
4. Alexander F. Ritter
5. J. Pardon
6. T. Ekholm
7. Zachary Sylvan
8. J. Evans
9. Yankı Lekili
10. Baptiste Chantraine

Papers from M. Abouzaid's perspective

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

1. Fukaya Categories and Picard-Lefschetz Theory
2. Homological mirror symmetry and torus fibrations
3. On the Floer homology of cotangent bundles
4. Lagrangian intersection floer theory : anomaly and obstruction
5. An open string analogue of Viterbo functoriality
6. Mirror symmetry and T-duality in the complement of an anticanonical divisor
7. Symplectic homology as Hochschild homology
8. Homological mirror symmetry for the genus two curve
9. Introduction to toric varieties
10. Lectures on Floer homology

Their papers

• Khovanov homology from Floer cohomology (2015) — 59 citations
• Family Floer cohomology and mirror symmetry (2014) — 61 citations
• The family Floer functor is faithful (2014) — 50 citations
• Symplectic cohomology and Viterbo's theorem (2013) — 127 citations
• Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces (2012) — 131 citations
• Homological mirror symmetry for punctured spheres (2011) — 91 citations
• Altering symplectic manifolds by homologous recombination (2010) — 47 citations
• A geometric criterion for generating the Fukaya category (2010) — 196 citations
• Nearby Lagrangians with vanishing Maslov class are homotopy equivalent (2010) — 75 citations
• A topological model for the Fukaya categories of plumbings (2009) — 79 citations
• Homological mirror symmetry for the 4-torus (2009) — 58 citations
• On the wrapped Fukaya category and based loops (2009) — 100 citations
• Framed bordism and Lagrangian embeddings of exotic spheres (2008) — 56 citations
• An open string analogue of Viterbo functoriality (2007) — 328 citations
• Morse homology, tropical geometry, and homological mirror symmetry for toric varieties (2006) — 141 citations
• Homogeneous coordinate rings and mirror symmetry for toric varieties (2005) — 99 citations