Kniha Linear Analysis on singular spaces Francesco Bei

Linear Analysis on singular spaces

L^2-de Rham-Hodge and L^2-Atiyah-Bott-Lefschetz Theorems on stratified pseudomanifolds

Autor: Francesco Bei
Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 8-11 dnů
651
During the last 30 years stratified pseudomanifolds turned out to be a very reach field of interacti...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2013
Stránek
108
EAN
9783639850093
Enbook ID
02314959
Hmotnost
179
Rozměry
150 x 220 x 6

Kompletní popis

During the last 30 years stratified pseudomanifolds turned out to be a very reach field of interactions between analysis and topology. The aim of this book is to explore some of these interactions. More precisely the book is divided in two parts. The first half is dedicated to the relationships between the L^2 de Rham cohomology, Hodge cohomology (both associated to a suitable incomplete riemannian metric) and the intersection cohomology of a stratified pseudomanifold. In particular the question of the Poincaré duality for the L^2 cohomology associated to an incomplete metric is discussed. The second half concerns the generalization of the well known theorem of Atiyah-Bott for elliptic complexes over a closed manifolds to the case of elliptic complexes of cone differential operators over a manifold with conical singularities.

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