K. Fukaya

Geometry and Topology · 2001–2010

A researcher in the Science corpus: 12 papers; trusts 30 researchers and is trusted by 41 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 62 citations into it; #349 of 7,422 by trust here, #418 by citations
• Mathematical Physics — 48 citations into it; #548 of 8,562 by trust here, #593 by citations
• Applied Mathematics — 11 citations into it; #2,649 of 7,620 by trust here, #3,258 by citations
• Statistical and Nonlinear Physics — 11 citations into it
• Discrete Mathematics and Combinatorics — 10 citations into it; #712 of 2,017 by trust here, #321 by citations
• Computational Theory and Mathematics — 9 citations into it
• Algebra and Number Theory — 6 citations into it; #1,380 of 2,864 by trust here, #1,879 by citations
• Nuclear and High Energy Physics — 6 citations into it

Whom K. Fukaya trusts overall

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

1. P. Seidel
2. M. Kontsevich
3. Misha Gromov
4. Yong-Geun Oh
5. M. Schwarz
6. Y. Soibelman
7. Mark Gross
8. Jean-Paul Brasselet
9. Maria Chlouveraki
10. Michael Hutchings

Who trusts K. Fukaya overall

1. P. Seidel
2. M. Abouzaid
3. Alexander F. Ritter
4. I. Smith
5. D. Auroux
6. T. Ekholm
7. Nick Sheridan
8. St'ephane Guillermou
9. Christopher Woodward
10. J. Evans

Papers from K. Fukaya's perspective

Ordered by how strongly the researchers K. Fukaya 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. Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc
4. Braid group actions on derived categories of coherent sheaves
5. Symplectic homology as Hochschild homology
6. Introduction to toric varieties
7. Calabi quasimorphism and quantum homology
8. Large Complex Structure Limits of K3 Surfaces
9. Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions
10. Homological Mirror Symmetry for Toric del Pezzo Surfaces

Their papers

• Lagrangian Intersection Floer Theory, Part 2: Anomaly and Obstruction, Part II (2010) — 66 citations
• Lagrangian Floer theory and Mirror symmetry on compact toric manifolds (2010) — 83 citations
• Lagrangian Intersection Floer Theory: Anomaly and Obstruction, Part I (2010) — 456 citations
• Lagrangian Intersection Floer Theory (2009) — 96 citations
• Antisymplectic involution and Floer cohomology (2009) — 53 citations
• Cyclic symmetry and adic convergence in Lagrangian Floer theory (2009) — 153 citations
• Counting pseudo-holomorphic discs in Calabi-Yau 3 fold (2009) — 49 citations
• Lagrangian Floer theory on compact toric manifolds II: bulk deformations (2008) — 297 citations
• Exact Lagrangian submanifolds in simply-connected cotangent bundles (2007) — 116 citations
• The Symplectic Geometry of Cotangent Bundles from a Categorical Viewpoint (2007) — 85 citations
• Mirror symmetry of abelian varieties and multi-theta functions (2002) — 131 citations
• Deformation theory, homological algebra and mirror symmetry (2001) — 138 citations