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Title: L^2-de Rham-Hodge and L^2-Atiyah-Bott-Lefschetz theorems on stratified pseudomanifolds
Tutor: Piazza, Paolo
Keywords: L^2 deRham cohomology, Hodge cohomology, Stratified pseudomanifolds, Intersection cohomology, Atiyah-Bott-Lefschetz theorem
Issue Date: 17-Dec-2012
Abstract: The first part of our thesis is devoted to the L^2 de Rham and Hodge theory on a stratified pseudomanifold and to the relationships with the intersection cohomology. The second part is devoted to the Atiyah-Bott-Lefschetz theorem on a manifold with isolated conical singularities.
Research interests: Global analysis on singular spaces; L^2 de Rham cohomology and L^2 Hodge theory on stratified pseudomanifolds; Atiyah-Bott-Lefschetz theorem on non compact manifolds with particular regard to the case of stratified pseudomanifolds.

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