AbstractAn algebraic variety defined over the real numbers has an associated topological space with involution, and algebraic vector bundles give rise to Real vector bundles. We show that the associated map from algebraic K-theory to Atiyah's Real K-theory is, after completion at two, an isomorphism on homotopy groups above the dimension of the variety
Let G be a compact, connected, and simply-connected Lie group, equipped with a Lie group involution ...
We prove that any topological real line bundle on a compact real algebraic curve $X$ is isomorphic t...
20 pages; ICM 2022 ProceedingsWe survey some recent progress in the theory of vector bundles on alge...
AT-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem (cf. Bor...
AbstractThe semi-topological K-theory K∗semi(X) of a quasi-projective complex algebraic variety X is...
We consider the inclusion of the space of algebraic (regular) maps between real algebraic varieties ...
This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ...
Stratified-algebraic vector bundles on real algebraic varieties have many desirable features of alge...
The well known isomorphism relating the rational algebraic K-theory groups and the rational motivic ...
In this thesis we discuss the theory of vector bundles with real structure on the projective line. T...
In this thesis we discuss the theory of vector bundles with real structure on the projective line. T...
We establish the existence of an "Atiyah-Hirzebruch-like" spectral sequence relating the ...
The paper deals with the first systematic study of the spaces of regular and ratinal maps between ar...
AbstractThe groups of algebraic cycles on complex projective space P(V) are known to have beautiful ...
We study the homotopy types of gauge groups of principal U(n)-bundles associated to pseudo Real vect...
Let G be a compact, connected, and simply-connected Lie group, equipped with a Lie group involution ...
We prove that any topological real line bundle on a compact real algebraic curve $X$ is isomorphic t...
20 pages; ICM 2022 ProceedingsWe survey some recent progress in the theory of vector bundles on alge...
AT-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem (cf. Bor...
AbstractThe semi-topological K-theory K∗semi(X) of a quasi-projective complex algebraic variety X is...
We consider the inclusion of the space of algebraic (regular) maps between real algebraic varieties ...
This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ...
Stratified-algebraic vector bundles on real algebraic varieties have many desirable features of alge...
The well known isomorphism relating the rational algebraic K-theory groups and the rational motivic ...
In this thesis we discuss the theory of vector bundles with real structure on the projective line. T...
In this thesis we discuss the theory of vector bundles with real structure on the projective line. T...
We establish the existence of an "Atiyah-Hirzebruch-like" spectral sequence relating the ...
The paper deals with the first systematic study of the spaces of regular and ratinal maps between ar...
AbstractThe groups of algebraic cycles on complex projective space P(V) are known to have beautiful ...
We study the homotopy types of gauge groups of principal U(n)-bundles associated to pseudo Real vect...
Let G be a compact, connected, and simply-connected Lie group, equipped with a Lie group involution ...
We prove that any topological real line bundle on a compact real algebraic curve $X$ is isomorphic t...
20 pages; ICM 2022 ProceedingsWe survey some recent progress in the theory of vector bundles on alge...
DOI
Add to ORKG