Arend Bayer
Geometry and Topology · 2001–2019
A researcher in the Science corpus: 12 papers; trusts 56 researchers and is trusted by 44 researchers here, as inferred from the citation graph.
Subfields
- Geometry and Topology — 270 citations into it; #251 of 7,422 by trust here, #270 by citations
- Mathematical Physics — 213 citations into it; #532 of 8,562 by trust here, #515 by citations
- Statistical and Nonlinear Physics — 38 citations into it
- Nuclear and High Energy Physics — 28 citations into it
- Algebra and Number Theory — 27 citations into it; #389 of 2,864 by trust here, #948 by citations
- Applied Mathematics — 13 citations into it
- Computational Theory and Mathematics — 8 citations into it
Whom Arend Bayer trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- T. Bridgeland
- Yukinobu Toda
- Emanuele Macrì
- D. Huybrechts
- Alexander Kuznetsov
- K. Behrend
- So Okada
- R. Bezrukavnikov
- Alexander Polishchuk
- K. Yoshioka
Who trusts Arend Bayer overall
- Chunyi Li
- Emanuele Macrì
- Yukinobu Toda
- Benjamin Schmidt
- Michael Usher
- P. Seidel
- D. Huybrechts
- J. Stoppa
- P. Stellari
- V. Golyshev
Papers from Arend Bayer's perspective
Ordered by how strongly the researchers Arend Bayer trusts endorse each paper. Same corpus, a different order for every researcher.
- Stability conditions on triangulated categories
- Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
- Curve counting via stable pairs in the derived category
- Braid group actions on derived categories of coherent sheaves
- T-structures on some local Calabi–Yau varieties
- Stability conditions on $K3$ surfaces
- Donaldson-Thomas invariants via microlocal geometry
- Stability conditions and Kleinian singularities
- Autoequivalences of derived categories on the minimal resolutions of An-singularities on surfaces
- Divisorial Zariski decompositions on compact complex manifolds
Their papers
- Stability conditions in families (2019) — 154 citations
- Stability conditions on Kuznetsov components (2017) — 53 citations
- The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds (2014) — 169 citations
- MMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones, Lagrangian fibrations (2013) — 336 citations
- Derived automorphism groups of K3 surfaces of Picard rank $1$ (2013) — 99 citations
- Projectivity and birational geometry of Bridgeland moduli spaces (2012) — 241 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
- The space of stability conditions on the local projective plane (2009) — 132 citations
- Polynomial Bridgeland stability conditions and the large volume limit (2007) — 91 citations
- Semisimple Quantum Cohomology and Blow-ups (2004) — 62 citations
- Semi)simple exercises in quantum cohomology (2001) — 68 citations