Stability conditions and the A2 quiver
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TLDR
For each integer n ⩾ 2, the authors describes the space of stability conditions on the derived category of the n-dimensional Ginzburg algebra associated to the A 2 quiver.About:
This article is published in Advances in Mathematics.The article was published on 2020-05-13 and is currently open access. It has received 42 citations till now. The article focuses on the topics: Quiver & Space (mathematics).read more
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Stability conditions and quantum dilogarithm identities for dynkin quivers
TL;DR: In this paper, the fundamental groups of the exchange graphs for the bounded derived category D ( Q ) of a Dynkin quiver Q and the finite-dimensional derived category of the Calabi-Yau-N Ginzburg algebra associated to Q were studied.
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Flat surfaces and stability structures
TL;DR: In this article, the authors identify spaces of half-translation surfaces, equivalently complex curves with quadratic differential, with spaces of stability structures on Fukaya-type categories of punctured surfaces.
Functions Of Mathematical Physics
TL;DR: The functions of mathematical physics is universally compatible with any devices to read and is available in the digital library an online access to it is set as public so you can get it instantly.
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Contractible stability spaces and faithful braid group actions
TL;DR: In this article, it was shown that any finite-type component of a stability space of a triangulated category is contractible, in particular the braid group of the Calabi-Yau-N$ category.
Stability conditions on CYN categories associated to An-quivers and period maps
TL;DR: In this article, the authors study the space of stability conditions on a certain N-Calabi-Yau (CYN) category associated to an An-quiver, and construct stability conditions as the periods of quadratic differentials with zeros of order N −2 which are associated to polynomials.
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Asymptotics and Special Functions
TL;DR: A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool as discussed by the authors, and it can be found in many libraries.
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Stability conditions on triangulated categories
TL;DR: In this paper, the authors introduce the notion of a stability condition on a triangulated category and prove a deformation result which shows that the space with its natural topology is a manifold, possibly infinite-dimensional.
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Braid group actions on derived categories of coherent sheaves
Paul Seidel,Richard P. Thomas +1 more
TL;DR: In this paper, the authors give a construction of braid group actions on coherent sheaves on a variety of manifolds and show that these actions are always faithful when the manifold is smooth.
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Calabi-Yau algebras
TL;DR: In this paper, a universal construction of Calabi-Yau algebras in terms of a noncommutative symplectic DG algebra resolution is given, in dimension 3, where the resolution is determined by a non commutative potential representation variety.