
Explore Higgs-Coulomb correspondence in abelian GLSMs, examining virtual counts of Landau-Ginzburg quasimaps and Mellin-Barnes integrals. Learn about wall-crossing and stability conditions in GLSM invariants.

Explore applications of Bridgeland stability conditions and wall-crossing techniques in algebraic geometry, advancing understanding of complex mathematical structures.

Explore quiver moduli spaces' topology, geometry, and cohomology. Discover applications in Gromov-Witten and Donaldson-Thomas theory through wall-crossing techniques in advanced algebraic geometry.

Explore quiver moduli spaces: construction, topology, geometry, and applications in Donaldson-Thomas and Gromov-Witten theory. Delve into cohomology and wall-crossing phenomena in algebraic geometry.

Explore quiver moduli spaces: their construction, topology, and applications in representation theory, Gromov-Witten theory, and Donaldson-Thomas theory. Gain insights into these algebraic varieties and their geometric properties.

Explore wall crossing phenomena in moduli spaces of stable pairs, examining their geometric and algebraic properties and implications for birational geometry.

Explore generating series of K-theoretic enumerative invariants and their relation to stability conditions in GIT quotients, focusing on elliptic central charges and wall-crossing phenomena.

Explore stack-theoretic weighted blowups and their applications in resolution of singularities, destackification, wall-crossings, and weak factorization for more natural and efficient algorithms.

Explore K-theoretic DT/PT vertex correspondence on toric 3- and 4-folds, examining equivariant wall-crossing, symmetrized pullbacks, and applications to related conjectures.

Explore Virasoro constraints in sheaf theory, focusing on recent developments and their application to moduli spaces of sheaves using vertex algebra and wall-crossing techniques.

Explore wall-crossing formulae for Calabi-Yau fourfolds, their proof, and applications to stable pairs counting points, curves, and surfaces, building on Joyce's framework.

Explore quiver structures in knot theory, connecting HOMFLY-PT polynomials to motivic Donaldson-Thomas invariants through string theory and M-brane interactions.

Explore holomorphic curve counting in Calabi-Yau threefolds using HOMFLYPT skein module, examining deformation invariance and recursion relations in non-compact cases.

Explore modular properties of generating functions for Donaldson-Thomas invariants in Calabi-Yau threefolds, their physical origins, and applications in string theory compactifications.

Explore Donaldson-Thomas invariants, their mathematical significance, and modular behavior in string theory. Gain insights into BPS indices, wall-crossing phenomena, and topological string amplitudes.

Explore wall-crossing and resurgence in supersymmetric quantum field theory, uncovering their physical applications and implications in advanced theoretical physics.