Alexander Polishchuk

Geometry and Topology · 2000–2018

A researcher in the Science corpus: 18 papers; trusts 44 researchers and is trusted by 56 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 108 citations into it; #236 of 7,422 by trust here, #307 by citations
• Mathematical Physics — 94 citations into it; #387 of 8,562 by trust here, #467 by citations
• Algebra and Number Theory — 28 citations into it; #879 of 2,864 by trust here, #1,490 by citations
• Nuclear and High Energy Physics — 15 citations into it
• Statistical and Nonlinear Physics — 12 citations into it; #821 of 10,127 by trust here, #2,036 by citations

Whom Alexander Polishchuk trusts overall

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

1. Bertrand Toën
2. R. Bezrukavnikov
3. Dmitri Orlov
4. L. Positselski
5. Alexander I. Efimov
6. Kevin Lin
7. Michael R Douglas
8. P. Seidel
9. T. Bridgeland
10. A. Kapustin

Who trusts Alexander Polishchuk overall

1. Emanuele Macrì
2. Yuri I. Manin
3. I. Burban
4. Arend Bayer
5. Huijun Fan
6. P. Aspinwall
7. Matthew R. Ballard
8. Alexander Kuznetsov
9. A. Chiodo
10. Alexander I. Efimov

Papers from Alexander Polishchuk's perspective

Ordered by how strongly the researchers Alexander Polishchuk 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. Triangulated categories of singularities and D-branes in Landau-Ginzburg models
4. Hodge theoretic aspects of mirror symmetry
5. Topological conformal field theories and Calabi–Yau categories
6. Global matrix factorizations
7. Homological mirror symmetry for the quartic surface
8. D branes in Landau-Ginzburg models and algebraic geometry
9. Topological Correlators in Landau-Ginzburg Models with Boundaries
10. D-branes, categories and N=1 supersymmetry

Their papers

• Algebraic construction of Witten's top Chern class (2000) — 118 citations
• Witten’s top Chern class on the moduli space of higher spin curves (2002) — 48 citations
• Derived equivalences of gentle algebras via Fukaya categories (2018) — 101 citations
• Auslander orders over nodal stacky curves and partially wrapped Fukaya categories (2017) — 49 citations
• Matrix factorizations and Cohomological Field Theories (2011) — 88 citations
• Exceptional collections on isotropic Grassmannians (2011) — 55 citations
• Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations (2010) — 121 citations
• Hochschild (co)homology of the second kind I (2010) — 56 citations
• Gluing Stability Conditions (2009) — 55 citations
• Constant families of t-structures on derived categories of coherent sheaves (2006) — 123 citations
• Abelian Varieties, Theta Functions and the Fourier Transform (2003) — 201 citations
• Classification of holomorphic vector bundles on noncommutative two-tori (2003) — 59 citations
• Sheaves of t-structures and valuative criteria for stable complexes (2003) — 92 citations
• Noncommutative Proj and coherent algebras (2002) — 61 citations
• Noncommutative two-tori with real multiplication as noncommutative projective varieties (2002) — 48 citations
• Classical Yang–Baxter Equation and the A∞-Constraint (2002) — 104 citations
• When is the Fourier transform of an elementary function elementary? (2000) — 51 citations
• A∞-Structures on an Elliptic Curve (2000) — 68 citations