Yukinobu Toda

Geometry and Topology · 2005–2015

A researcher in the Science corpus: 11 papers; trusts 44 researchers and is trusted by 35 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 150 citations into it; #353 of 7,422 by trust here, #455 by citations
• Mathematical Physics — 123 citations into it; #765 of 8,562 by trust here, #912 by citations
• Nuclear and High Energy Physics — 35 citations into it; #2,683 of 6,161 by trust here, #4,226 by citations
• Statistical and Nonlinear Physics — 14 citations into it; #1,017 of 10,127 by trust here, #3,172 by citations
• Algebra and Number Theory — 11 citations into it
• Computational Theory and Mathematics — 6 citations into it

Whom Yukinobu Toda trusts overall

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

1. T. Bridgeland
2. K. Behrend
3. R. Pandharipande
4. Michel van den Bergh
5. Michael R Douglas
6. Arend Bayer
7. Y. Kawamata
8. D. Joyce
9. Max Lieblich
10. So Okada

Who trusts Yukinobu Toda overall

1. Arend Bayer
2. Emanuele Macrì
3. D. Huybrechts
4. H. Nuer
5. P. Stellari
6. Chunyi Li
7. D. Joyce
8. R. Pandharipande
9. Mart'i Lahoz
10. D. Piyaratne

Papers from Yukinobu Toda's perspective

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

1. Symmetric Obstruction Theories and Hilbert Schemes of Points on Threefolds
2. Stability conditions on triangulated categories
3. Curve counting via stable pairs in the derived category
4. Donaldson-Thomas invariants via microlocal geometry
5. Gromov–Witten theory and Donaldson–Thomas theory, I (Compositio Mathematica)
6. Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
7. Braid group actions on derived categories of coherent sheaves
8. Derived categories of coherent sheaves
9. Quantum Calabi-Yau and Classical Crystals
10. Stability conditions on $K3$ surfaces

Their papers

• Moduli of Bridgeland semistable objects on 3-folds and Donaldson–Thomas invariants (2015) — 63 citations
• Stability conditions and extremal contractions (2012) — 50 citations
• Stability conditions and curve counting invariants on Calabi–Yau 3-folds (2011) — 67 citations
• Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities (2011) — 88 citations
• Bridgeland stability conditions on threefolds II: An application to Fujita’s conjecture (2011) — 148 citations
• Curve counting theories via stable objects I. DT/PT correspondence (2009) — 162 citations
• Curve counting theories via stable objects Ⅱ : DT/ncDT flop formula (2009) — 49 citations
• New aspects of Heterotic–F-theory duality (2008) — 189 citations
• Moduli stacks and invariants of semistable objects on K3 surfaces (2007) — 136 citations
• Stability conditions and crepant small resolutions (2005) — 69 citations
• Deformations and Fourier-Mukai transforms (2005) — 59 citations