Purity for graded potentials and quantum cluster positivity
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Publication:3458402
DOI10.1112/S0010437X15007332zbMath1345.14014arXiv1307.3379OpenAlexW1942062795MaRDI QIDQ3458402
Davesh Maulik, Ben Davison, Jörg Schürmann, Balázs Szendrői
Publication date: 18 December 2015
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.3379
Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35) Cluster algebras (13F60)
Related Items
The existence of greedy bases in rank 2 quantum cluster algebras, Deformed dimensional reduction, Species with potential arising from surfaces with orbifold points of order 2. I: One choice of weights, A Gaussian distribution for refined DT invariants and 3D partitions, Positivity for quantum cluster algebras, Cluster algebras from dualities of 2d \({\mathcal{N}} = (2, 2)\) quiver gauge theories, A Correspondence between Rigid Modules Over Path Algebras and Simple Curves on Riemann Surfaces, Cluster multiplication theorem in the quantum cluster algebra of type \(A_2^{(2)}\) and the triangular basis, Strong positivity for quantum theta bases of quantum cluster algebras, Counting using Hall algebras. III: Quivers with potentials, Cohomological Donaldson-Thomas theory of a quiver with potential and quantum enveloping algebras, Monoidal categorification of cluster algebras
Cites Work
- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
- Intersection spaces, perverse sheaves and type IIB string theory
- Quiver varieties and cluster algebras
- Cluster characters for cluster categories with infinite-dimensional morphism spaces
- Positivity for cluster algebras from surfaces
- Modules de Hodge polarisables. (Polarisable Hodge modules)
- Derived equivalences from mutations of quivers with potential
- Cluster mutation-periodic quivers and associated Laurent sequences
- Perfect matchings and the octahedron recurrence
- The Milnor fibre of the Pfaffian and the Hilbert scheme of four points on \(\mathbb{C}^3\)
- Donaldson-Thomas type invariants via microlocal geometry
- Cluster algebras and triangulated surfaces. I: Cluster complexes
- Quivers with potentials and their representations. I: Mutations.
- On the mixed Hodge structure on the cohomology of the Milnor fibre
- Sur la théorie de Hodge-Deligne. (On the Hodge-Deligne theory)
- Limits of Hodge structures
- Variation of Hodge structure: The singularities of the period mapping
- Motivic exponential integrals and a motivic Thom-Sebastiani theorem
- Graded quiver varieties, quantum cluster algebras and dual canonical basis
- On the noncommutative Donaldson-Thomas invariants arising from brane tilings
- Positivity for cluster algebras
- Donaldson-Thomas theory and cluster algebras
- Stability conditions on triangulated categories
- Quantum cluster algebras.
- Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink
- Cluster algebras I: Foundations
- Mutation of cluster-tilting objects and potentials
- Quivers with potentials associated to triangulated surfaces
- Equivalences of Triangulated Categories and Fourier-Mukai Transforms
- MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
- Mixed Hodge modules
