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arXiv research

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2 results for “torsion-sensitive”

Topological invariance of torsion sensitive intersection homologymath.GT

Paper explores topological invariance in torsion-sensitive intersection homology.

problem Torsion-sensitive intersection homology's topological invariance.

method Analogous to classical intersection homology, investigates invariance of sheaf complexes.

result Provides torsion-sensitive versions of existing invariance theorems and new results.

intersection homology topological invariance torsion-sensitive stratified spaces PID

2019-07-17abs ↗pdf ↗

Generalizations of intersection homology and perverse sheaves with duality over the integersmath.GT

We provide a generalization of the Deligne sheaf construction of intersection homology theory, and a corresponding generalization of Poincaré duality on pseudomanifolds, such that the Goresky-MacPherson, Goresky-Siegel, and Cappell-Shaneson duality theorems all arise as special cases. Unlike classical intersection homo…

2016-12-30abs ↗pdf ↗