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2 results for “mezzoperversity”

On the Hodge theory of stratified spacesmath.DG

Survey of Hodge theory on stratified spaces and related compactifications.

problem Analyzing Hodge theory on complex stratified spaces.

method Resolution of Thom-Mather stratified spaces to manifolds with corners, introduction of mezzoperversity, definition of Cheeger spaces.

result Novikov conjecture verified for Cheeger spaces.

Hodge theory stratified spaces manifolds with corners mezzoperversity Cheeger spaces

2016-03-14abs ↗pdf ↗

Hodge theory on Cheeger spacesmath.DG

We extend the study of the de Rham operator with ideal boundary conditions from the case of isolated conic singularities, as analyzed by Cheeger, to the case of arbitrary stratified pseudomanifolds. We introduce a class of ideal boundary operators and the notion of mezzoperversity, which intermediates between the stand…

2013-07-20abs ↗pdf ↗