In topology, a branch of mathematics, intersection homology is an analogue of singular homology especially well-suited for the study of singular spaces...
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Borel–Moore homology Cellular homology Cyclic homology Hochschild homology Floer homology Intersection homology K-homology Khovanov homology Morse homology Persistent...
54 KB (8,218 words) - 14:50, 22 August 2024
In algebraic topology, a homology sphere is an n-manifold X having the homology groups of an n-sphere, for some integer n ≥ 1 {\displaystyle n\geq 1} ...
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solutions of holonomic D-modules. A key observation was that the intersection homology of Mark Goresky and Robert MacPherson could be described using sheaf...
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singular varieties is provided by intersection homology. Namely, Morihiko Saito showed that the intersection homology of any complex projective variety...
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Cohomology (redirect from Extraordinary homology theory)
In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated...
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Poincaré duality (category Homology theory)
intersections induces an isomorphism C i M → C n − i M {\displaystyle C_{i}M\to C^{n-i}M} , where C i {\displaystyle C_{i}} is the cellular homology of...
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Robert Mark Goresky is a Canadian mathematician who invented intersection homology with his advisor and life partner Robert MacPherson. Goresky received...
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Kari Vilonen, and Zhiwei Yun. MacPherson and Goresky introduced intersection homology. He also worked on arithmetic groups, in particular on Siegel modular...
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In mathematics, the intersection form of an oriented compact 4-manifold is a special symmetric bilinear form on the 2nd (co)homology group of the 4-manifold...
6 KB (966 words) - 00:50, 7 January 2023