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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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0111 · Dec 202219922001200920172026
4 results for “mixed-angulations”
Perverse schobers, stability conditions and quadratic differentials II: relative graded Brauer graph algebrasmath.RT

New dg-algebras generalize Brauer graph algebras, with applications to stability conditions and quadratic differentials.

problem Generalizing Brauer graph algebras to new dg-algebras.
method Derived categories, mixed-angulations of surfaces, stability conditions, and quadratic differentials.
result Spaces of stability conditions on derived categories of these algebras are described in terms of spaces of quadratic differentials.
dg-algebrasBrauer graph algebrasstability conditionsquadratic differentialsmixed-angulations
2024-06-28abs ↗pdf ↗
Quadratic differentials as stability conditions: collapsing subsurfacesmath.GT

New stability conditions identified from quadratic differentials on surfaces.

problem Identifying stability conditions from quadratic differentials.
method Comparison of exchange graphs from tilting hearts and flipping mixed angulations.
result Spaces of stability conditions identified with moduli spaces of quadratic differentials.
stability conditionsquadratic differentialstriangulated categoriesmoduli spacesmarked surfaces
2022-12-16abs ↗pdf ↗
Fundamental Groups of Genus-00 Quadratic Differential Strata via Exchange Graphsmath.GT

Study uses graph techniques to understand meromorphic quadratic differential strata.

problem Understanding the topology of meromorphic quadratic differential strata.
method Exchange graph techniques to study fundamental groups; generalizes relations for mixed-angulations.
result Explicit presentations of fundamental groups in genus-zero case with four singularities.
fundamental groupsquadratic differentialsexchange graphstopologymeromorphic functions
2026-03-08abs ↗pdf ↗
Perverse schobers, stability conditions and quadratic differentialsmath.RT

Unified approach to stability conditions on surfaces with quadratic differentials.

problem Identifying spaces of stability conditions on triangulated categories.
method Perverse schober and their global sections, mixed-angulations, flips, finite-length hearts, tilts.
result Identification of moduli spaces of quadratic differentials with arbitrary singularity types.
stability conditionstriangulated categoriesperverse schoberquadratic differentialsmoduli spaces
2023-03-31abs ↗pdf ↗