Flat surfaces and stability structures
By F. Haiden, L. Katzarkov, M. Kontsevich. Publications mathématiques (Bures-sur-Yvette), 2014
250 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/dda47adadcd941768e0dee2219ff126e221c1472
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- Pierre-Guy Plamondon
- Liam Watson
- Yann Palu
- Yankı Lekili
- Alexander Polishchuk
- J. Hanselman
- Vincent Pilaud
- Jacob Rasmussen
In Mathematical Physics
- Liam Watson
- Pierre-Guy Plamondon
- Yankı Lekili
- Alexander Polishchuk
- J. Hanselman
- Jacob Rasmussen
- Yann Palu
- Vincent Pilaud
Citations in the corpus
- Non-kissing and non-crossing complexes for locally gentle algebras (2018, background): “Remarkably, gentle algebras and surfaces were linked recently in [HKK17], where the Fukaya category of the surface is shown to be equivalent to the bounded derived category of the associated gentle algebra.”
- A geometric model for the derived category of gentle algebras (2018, unknown): “re are as many marked points on a boundary component as there are boundary segments, we have ci= li−bias claimed. ✷ Acknowledgements We would like to thank Nathan Broomhead for pointing out the paper [46] to us, and Rosie Laking and David Pauksztello for discussions about morphisms in the derived ca”
- Auslander orders over nodal stacky curves and partially wrapped Fukaya categories (2017, methodology): “In [10], Haiden-Katzarkov-Kontsevich gave a combinatorial description of the resulting partially wrapped Fukaya categories when X is a (real) 2-dimensional symplectic manifold with non-empty boundary and a choice of Λ in its boundary.”
- Derived equivalences of gentle algebras via Fukaya categories (2018, methodology): “In the case the symplectic manifold is a surface, which is our focus in this paper, there is a combinatorial description of W(Σ,Λ; η) provided in [15].”
- Bordered Floer homology for manifolds with torus boundary via immersed curves (2016, background): “orus. In fact, the situation is somewhat more complicated. The Fukaya category is triangulated, so a typical object actually has the form of an iterated mapping cone built out of geometric curves. In [12], Haiden, Katzarkov and Kontsevich give an especially nice algebraic model for the partially wra”