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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.

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3 results for “cosheaves”

A local-to-global analysis of Gelfand-Fuks cohomologymath.KT

Novel proof technique for Gelfand-Fuks cohomology.

problem Comparing sheaf-like data over manifold Cartesian powers.

method Local-to-global analysis through generalized good covers and factorization algebras.

result Unified approach to Gelfand-Fuks cohomology.

Gelfand-Fuks cohomology spectral sequence vector fields factorization algebras cosheaves

2022-02-19abs ↗pdf ↗

Verdier duality on conically smooth stratified spacesmath.AT

Proves Verdier duality for sheaves on stratified spaces.

problem Verdier duality for constructible sheaves on stratified spaces.

method Uses conically smooth stratified spaces and Lurie's Verdier duality.

result Shows equivalence between constructible sheaves and cosheaves.

Verdier duality constructible sheaves stratified spaces conically smooth Lurie's duality

2022-06-06abs ↗pdf ↗

Some new homology and cohomology theories of manifolds and orbifoldsmath.AT

For each manifold or effective orbifold $Y$ and commutative ring $R$ , we define a new homology theory $MH_*(Y;R)$ , $M$ - $homology$ , and a new cohomology theory $MH^*(Y;R)$ , $M$ - $cohomology$ . For $MH_*(Y;R)$ the chain complex $(MC_*(Y;R),\partial)$ is generated by quadruples $[V,n,s,t]$ satisfying relations, where $V$ is…

2015-09-18abs ↗pdf ↗