AbstractWe introduce twisted Thom operators and the deformation to the normal cone isomorphisms in the derived Witt theory. Using these ingredients, we define push-forward maps of Witt groups along closed embeddings of smooth varieties and prove their standard properties, the most delicate of which turns out to be the functoriality of such maps
18 pages added referenceWe give a geometric setup in which the connecting homomorphism in the locali...
We give an overview of the general framework of forms of Bak, Tits and Wall, when restricting to vec...
For coprime truncation sets M, N subset of N, we establish an isomorphism of functors W-N circle W-M...
We establish the Thom isomorphism in twisted K-theory for any real vector bundle and develop the pus...
23 pagesWe define push-forwards for Witt groups of schemes along proper morphisms, using Grothendiec...
AbstractWe prove that Gysin maps (transfer maps along closed embeddings of smooth varieties) in an o...
The thesis Witt Groups of Complex Varieties studies and compares two related cohomology theories tha...
We develop equivariant KK–theory for locally compact groupoid actions by Morita equivalences on real...
Building on Schlessinger's work, we define a framework for studying geometric deformation p...
Abstract. We define an analytical index map and a topological index map for conical pseudomanifolds....
The algebraic theory of maps and hypermaps is summarized in Chapter 1. There is a group of six inver...
Abstract. We give an exposition of the formal aspects of deformation theory in the language of fiber...
Let C be a complex smooth projective algebraic curve endowed with an action of a finite group G such...
We study the kernel and cokernel of the Frobenius map on the p-typical Witt vectors of a commutative...
We bound the complexity of the fibers of the generic linear projection of a smooth variety in terms ...
18 pages added referenceWe give a geometric setup in which the connecting homomorphism in the locali...
We give an overview of the general framework of forms of Bak, Tits and Wall, when restricting to vec...
For coprime truncation sets M, N subset of N, we establish an isomorphism of functors W-N circle W-M...
We establish the Thom isomorphism in twisted K-theory for any real vector bundle and develop the pus...
23 pagesWe define push-forwards for Witt groups of schemes along proper morphisms, using Grothendiec...
AbstractWe prove that Gysin maps (transfer maps along closed embeddings of smooth varieties) in an o...
The thesis Witt Groups of Complex Varieties studies and compares two related cohomology theories tha...
We develop equivariant KK–theory for locally compact groupoid actions by Morita equivalences on real...
Building on Schlessinger's work, we define a framework for studying geometric deformation p...
Abstract. We define an analytical index map and a topological index map for conical pseudomanifolds....
The algebraic theory of maps and hypermaps is summarized in Chapter 1. There is a group of six inver...
Abstract. We give an exposition of the formal aspects of deformation theory in the language of fiber...
Let C be a complex smooth projective algebraic curve endowed with an action of a finite group G such...
We study the kernel and cokernel of the Frobenius map on the p-typical Witt vectors of a commutative...
We bound the complexity of the fibers of the generic linear projection of a smooth variety in terms ...
18 pages added referenceWe give a geometric setup in which the connecting homomorphism in the locali...
We give an overview of the general framework of forms of Bak, Tits and Wall, when restricting to vec...
For coprime truncation sets M, N subset of N, we establish an isomorphism of functors W-N circle W-M...
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