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
Väzba: Brožovaná
Dostupnosť: Skladom u dodávateľa
Odosielame za 8-11 dní
28.51
During the last 30 years stratified pseudomanifolds turned out to be a very reach field of interacti...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Vydalo
2013
Stránok
108
EAN
9783639850093
Enbook ID
02314959
Hmotnosť
179
Rozmery
150 x 220 x 6

Kompletný 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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