In topology, a branch of mathematics, intersection homology is an analogue of singular homology especially well-suited for the study of singular spaces...

Borel–Moore homology Cellular homology Cyclic homology Hochschild homology Floer homology Intersection homology K-homology Khovanov homology Morse homology Persistent...

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} ...

solutions of holonomic D-modules. A key observation was that the intersection homology of Mark Goresky and Robert MacPherson could be described using sheaf...

singular varieties is provided by intersection homology. Namely, Morihiko Saito showed that the intersection homology of any complex projective variety...

Kari Vilonen, and Zhiwei Yun. MacPherson and Goresky introduced intersection homology. He also worked on arithmetic groups, in particular on Siegel modular...

In mathematics, Floer homology is a tool for studying symplectic geometry and low-dimensional topology. Floer homology is a novel invariant that arises...

In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated...

Robert Mark Goresky is a Canadian mathematician who invented intersection homology with his advisor and life partner Robert MacPherson. Goresky received...

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...