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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.

169,291 papers · 148 categories

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0111 · Feb 201419922001200920182026
7 results for T-manifolds

Kähler complexity one Hamiltonian T-manifolds have trivial paintings.

problem Understanding the structure of Kähler complexity one Hamiltonian T-manifolds.
method Proving the existence of a trivial painting for compact, connected Kähler complexity one Hamiltonian T-manifolds.
result Every compact, connected Kähler complexity one Hamiltonian T-manifold has a trivial painting.

Researchers find the maximum Ricci curvature for a specific type of complex manifolds.

problem Determining the maximum Ricci curvature for Fano T-manifolds of complexity 1.
method Generalizing Chi Li's result using Datar and Székelyhidi's method and Ilten and Süß' description.
result The greatest lower bounds on Ricci curvature for Fano T-manifolds of complexity 1 are determined.

Let T be a torus of dimension at least k and M a T-manifold. M is a GKM_k-manifold if the action is equivariantly formal, has only isolated fixed points, and any k weights of the isotropy representation in the fixed points are linearly independent. In this paper we compute the cohomology rings with real and integer coe…

2014-02-11abs ↗pdf ↗

Paper classifies pseudomanifolds over stratified spaces.

problem Classifying pseudomanifolds over stratified spaces.
method Introducing locally standard TT-pseudomanifolds and using characteristic data.
result Locally standard TT-pseudomanifolds over topological stratified pseudomanifolds are classified by their characteristic data.

Study compares Kähler quotients of torus actions under varying moment maps.

problem Comparing Kähler quotients of torus actions under varying moment maps.
method Analyzes the transformation of Kähler quotients as moment maps change, proving bimeromorphic transformations and desingularizations.
result Each nondegenerate singular Kähler quotient has a partial and rational desingularization.

Proves LeBrun-Salamon Conjecture for low-dimensional contact manifolds.

problem Proving the LeBrun-Salamon Conjecture in low dimensions for contact manifolds.
method Study of algebraic torus actions and use of Bialynicki-Birula decomposition and equivariant Riemann-Roch theorems.
result Contact Fano manifolds of dimension at most 9 with reductive automorphism group are homogeneous.