☆ 4.4 Article

The flow tree formula for Donaldson-Thomas invariants of quivers with potentials

COMPOSITIO MATHEMATICA (2022)

Related references

Note: Only part of the references are listed.

Article Mathematics

Operadic approach to wall-crossing

Sergey Mozgovoy

Summary: Wall-crossing phenomena are common in algebraic geometry and theoretical physics, and encoding relevant information and tracking parameter changes require complicated transformation rules and combinatorial problems. This paper proposes a framework that conceptualizes these transformation rules and applies it to the proofs of wall-crossing formulas and attractor invariants.

JOURNAL OF ALGEBRA (2022)

Add to Collection

Article Physics, Mathematical

Vafa-Witten Invariants from Exceptional Collections

Guillaume Beaujard et al.

Summary: This paragraph discusses supersymmetric D-branes supported on local Calabi-Yau threefolds, describing them using semi-stable coherent sheaves on a complex two-dimensional base, and explores the relationship between BPS indices and Vafa-Witten invariants. A general method for computing these invariants is developed by exploiting the isomorphism between coherent sheaves and representations of a specific quiver with potential. The paragraph also elaborates on the dictionary between different concepts and finds precise agreement with independent computations of Vafa-Witten invariants.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2021)

Add to Collection

Article Mathematics

Strong positivity for quantum theta bases of quantum cluster algebras

Ben Davison et al.

Summary: This study constructs quantum theta bases, extends the set of skew-symmetric quantum cluster algebras, and proves the quantum strong cluster positivity conjecture with Laurent polynomials as structure constants. The classical limits recover the theta bases considered by Gross-Hacking-Keel-Kontsevich. This approach combines scattering diagram techniques with Donaldson-Thomas theory.

INVENTIONES MATHEMATICAE (2021)

Add to Collection

Article Mathematics

Scattering diagrams, theta functions, and refined tropical curve counts

Travis Mandel

Summary: This paper focuses on the relationships between tropical disks, scattering diagrams, and broken lines in the quantum setting, and how they are used to prove significant mathematical results.

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES (2021)

Add to Collection

Article Physics, Mathematical

Black Holes and Higher Depth Mock Modular Forms

Sergei Alexandrov et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2020)

Add to Collection

Article Mathematics

Cohomological Donaldson-Thomas theory of a quiver with potential and quantum enveloping algebras

Ben Davison et al.

INVENTIONES MATHEMATICAE (2020)

Add to Collection

Article Physics, Mathematical

S-Duality and Refined BPS Indices

Sergei Alexandrov et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2020)

Add to Collection

Article Mathematics, Applied

Donaldson-Thomas invariants from tropical disks

Man-Wai Cheung et al.

SELECTA MATHEMATICA-NEW SERIES (2020)

Add to Collection

Article Mathematics

The quantum tropical vertex

Pierrick Bousseau

GEOMETRY & TOPOLOGY (2020)

Add to Collection

Article Mathematics

Donaldson-Thomas invariants versus intersection cohomology of quiver moduli

Sven Meinhardt et al.

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK (2019)

Add to Collection

Article Mathematics

CANONICAL BASES FOR CLUSTER ALGEBRAS

Mark Gross et al.

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY (2018)

Add to Collection

Article Mathematics

Block-Gottsche invariants from wall-crossing

S. A. Filippini et al.

COMPOSITIO MATHEMATICA (2015)

Add to Collection

Article Physics, Particles & Fields

N=2 quantum field theories and their BPS quivers

Murad Alim et al.

ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS (2014)

Add to Collection

Article Physics, Particles & Fields

Generalized quiver mutations and single-centered indices

Jan Manschot et al.

JOURNAL OF HIGH ENERGY PHYSICS (2014)

Add to Collection

Article Physics, Mathematical

BPS Quivers and Spectra of Complete Quantum Field Theories

Murad Alim et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2013)

Add to Collection

Article Physics, Particles & Fields

On the Coulomb and Higgs branch formulae for multi-centered black holes and quiver invariants

Jan Manschot et al.

JOURNAL OF HIGH ENERGY PHYSICS (2013)

Add to Collection

Article Physics, Particles & Fields

From black holes to quivers

Jan Manschot et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

Add to Collection

Article Physics, Particles & Fields

Scaling BPS solutions and pure-Higgs states

Iosif Bena et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

Add to Collection

Article Physics, Particles & Fields

Wall-crossing of D4-branes using flow trees

Jan Manschot

ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS (2011)

Add to Collection

Article Mathematics

From real affine geometry to complex geometry

Mark Gross et al.

ANNALS OF MATHEMATICS (2011)

Add to Collection

Article Mathematics

Cohomology of quiver moduli, functional equations, and integrality of Donaldson-Thomas type invariants

Markus Reineke

COMPOSITIO MATHEMATICA (2011)

Add to Collection

Article Physics, Particles & Fields

Wall crossing from Boltzmann black hole halos

Jan Manschot et al.

JOURNAL OF HIGH ENERGY PHYSICS (2011)

Add to Collection

Article Physics, Particles & Fields

Split states, entropy enigmas, holes and halos

Frederik Denef et al.

JOURNAL OF HIGH ENERGY PHYSICS (2011)

Add to Collection

Article Mathematics

Mirror symmetry for P2 and tropical geometry

Mark Gross

ADVANCES IN MATHEMATICS (2010)

Add to Collection

Article Mathematics

THE TROPICAL VERTEX

Mark Gross et al.

DUKE MATHEMATICAL JOURNAL (2010)

Add to Collection

Article Mathematics

POISSON AUTOMORPHISMS AND QUIVER MODULI

Markus Reineke

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU (2010)

Add to Collection

Article Mathematics, Applied

Quivers, curves, and the tropical vertex

Mark Gross et al.

PORTUGALIAE MATHEMATICA (2010)

Add to Collection

Article Mathematics

Quivers with potentials and their representations I: Mutations

Harm Derksen et al.

Selecta Mathematica-New Series (2008)

Add to Collection

Article Mathematics

Stability conditions on triangulated categories

Tom Bridgeland

ANNALS OF MATHEMATICS (2007)

Add to Collection

Article Mathematics

Toric degenerations of toric varieties and tropical curves

Takeo Nishinou et al.

DUKE MATHEMATICAL JOURNAL (2006)

Add to Collection

Article Mathematics

Special Lagrangians, stable bundles and mean curvature flow

RP Thomas et al.

COMMUNICATIONS IN ANALYSIS AND GEOMETRY (2002)

Add to Collection

© Peeref 2019-2024. All rights reserved.