Intersection Homology

In topology, a branch of mathematics, intersection homology is an analogue of singular homology especially well-suited for the study of singular spaces, discovered by Mark Goresky and Robert MacPherson in the fall of 1974 and developed by them over the next few years.

Intersection cohomology was used to prove the Kazhdan–Lusztig conjectures and the Riemann–Hilbert correspondence. It is closely related to L2 cohomology.

Read more about Intersection HomologyGoresky–MacPherson Approach, Stratifications, Perversities, Singular Intersection Homology, Small Resolutions, Sheaf Theory, Properties of The Complex IC(X)

Other articles related to "intersection homology, intersection":

Intersection Homology - Properties of The Complex IC(X)
... depend on the choice of stratification, so this shows that intersection cohomology does not depend on the choice of stratification either ...

Famous quotes containing the word intersection:

    You can always tell a Midwestern couple in Europe because they will be standing in the middle of a busy intersection looking at a wind-blown map and arguing over which way is west. European cities, with their wandering streets and undisciplined alleys, drive Midwesterners practically insane.
    Bill Bryson (b. 1951)