Add to ORKGSummary. These lecture notes are mainly devoted to a K-theory proof of the Atiyah-Singer index theorem. Some applications of the K-theory to noncommutative topology are also given
Abstract. We define an analytical index map and a topological index map for conical pseudomanifolds....
We describe a very general procedure how one may extend an arbitrary degree or index theory (origina...
We investigate an extension of ideas of Atiyah-Patodi-Singer (APS) to a noncommutative geometry sett...
textWe construct a geometric model for differential K-theory, and prove it is isomorphic to the mode...
Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In ...
We define topological and analytic indices in R/Z K-theory and show that they are equal.
This book aims to provide a friendly introduction to non-commutative geometry. It studies index theo...
The Atiyah-Singer index theorem is a remarkable result that allows one to compute the space of solut...
Abstract. We define an analytical index map and a topological index map for conical pseudomanifolds....
This paper collects the notes of a serie of lectures given by the two authors during the summer scho...
Abstract. These lecture notes are mainly devoted to a proof using groupoids andKK-theory of Atiyah-S...
The index theorem of Atiyah and Singer, discovered in 1963, is a striking result which relates many ...
The index theorem of Atiyah and Singer, discovered in 1963, is a striking result which relates many ...
In this article we outline an approach to index theory on the basis of methods of noncommutative top...
This paper provides a realization of K-theory with R/Z coefficients and proves an R/Z index theorem
Abstract. We define an analytical index map and a topological index map for conical pseudomanifolds....
We describe a very general procedure how one may extend an arbitrary degree or index theory (origina...
We investigate an extension of ideas of Atiyah-Patodi-Singer (APS) to a noncommutative geometry sett...
textWe construct a geometric model for differential K-theory, and prove it is isomorphic to the mode...
Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In ...
We define topological and analytic indices in R/Z K-theory and show that they are equal.
This book aims to provide a friendly introduction to non-commutative geometry. It studies index theo...
The Atiyah-Singer index theorem is a remarkable result that allows one to compute the space of solut...
Abstract. We define an analytical index map and a topological index map for conical pseudomanifolds....
This paper collects the notes of a serie of lectures given by the two authors during the summer scho...
Abstract. These lecture notes are mainly devoted to a proof using groupoids andKK-theory of Atiyah-S...
The index theorem of Atiyah and Singer, discovered in 1963, is a striking result which relates many ...
The index theorem of Atiyah and Singer, discovered in 1963, is a striking result which relates many ...
In this article we outline an approach to index theory on the basis of methods of noncommutative top...
This paper provides a realization of K-theory with R/Z coefficients and proves an R/Z index theorem
Abstract. We define an analytical index map and a topological index map for conical pseudomanifolds....
We describe a very general procedure how one may extend an arbitrary degree or index theory (origina...
We investigate an extension of ideas of Atiyah-Patodi-Singer (APS) to a noncommutative geometry sett...