7 citations · 22 across the 13 of their papers we have counts for
14 papers · 1 filter
Additivity for the Motivic Trace and the Motivic Euler Characteristic
Roy Joshua, Pablo Pelaez
In this paper, we settle an open conjecture regarding the assertion that the Euler-characteristic of $\rmG/\NT$ for a split reductive group scheme $\rmG$ and the normalizer of a sp…
The Motivic Segal-Becker Theorem
Roy Joshua, Pablo Pelaez
The present paper is a continuation of earlier work by Gunnar Carlsson and the first author on a motivic variant of the classical Becker-Gottlieb transfer and an additivity theorem…
Brauer Groups of Algebraic Stacks and GIT-Quotients
Jaya Iyer, Roy Joshua
In this paper we consider the Brauer groups of algebraic stacks and GIT quotients: the only algebraic stacks we consider in this paper are quotient stacks [X/G], where X is a smoot…
Additivity and Double Coset formulae for the Motivic and Étale Becker-Gottlieb transfer
Roy Joshua, Pablo Pelaez
In this paper, which is a continuation of earlier work by the first author and Gunnar Carlsson, one of the first results we establish is the additivity of the motivic Becker-Gottli…
Motivic and Étale Spanier-Whitehead duality and the Becker-Gottlieb transfer
Gunnar Carlsson, Roy Joshua
In this paper, we develop a theory of Becker-Gottlieb transfer based on Spanier-Whitehead duality that holds in both the motivic and étale settings for smooth quasi-projective vari…
Equivariant Derived Categories for Toroidal Group Imbeddings
Roy Joshua
Let denote a projective variety over an algebraically closed field on which a linear algebraic group acts with finitely many orbits. Then, a conjecture of Soergel and Lu…
Atiyah-Segal Derived Completions for Equivariant Algebraic G-Theory and K-Theory
Gunnar Carlsson, Roy Joshua
In the mid 1980s, while working on establishing completion theorems for equivariant Algebraic K- Theory similar to the well-known Atiyah-Segal completion theorem for equivariant to…
Brauer groups of schemes associated to symmetric powers of smooth projective curves in arbitrary characteristics
Jaya NN Iyer, Roy Joshua
In this paper we show that the l^n-torsion part of the cohomological Brauer groups of certain schemes associated to symmetric powers of a projective smooth curve over a separably c…
Explicit Chow-Lefschetz Decomposition for Kummer manifolds
Reza Akhtar, Roy Joshua
Let X be the quotient of a smooth projective variety over a field by a finite group action (in which case we say X is pseudo-smooth), such that the singularities of X are isolated…
Higher K-theory of Toric stacks
Roy Joshua, Amalendu Krishna
In this paper, we develop several techniques for computing the higher G-theory and K-theory of quotient stacks. Our main results for computing these groups are in terms of spectral…
Notions of purity and the cohomology of quiver moduli
Michel Brion, Roy Joshua
We explore several variations of the notion of purity for the action of Frobenius on schemes defined over finite fields. In particular, we study how these notions are preserved und…
Equivariant Chow ring and Chern classes of wonderful symmetric varieties of minimal rank
Michel Brion, Roy Joshua
We describe the equivariant Chow ring of the wonderful compactification of a symmetric space of minimal rank, via restriction to the associated toric variety . Also, we show…
Intersection Cohomology of reductive varieties
Michel Brion, Roy Joshua
We extend the methods developed in our earlier work to algorithmically compute the intersection cohomology Betti numbers of reductive varieties. These form a class of highly symmet…
Motivic E_{infinity} algebras and the motivic dga
Roy Joshua
In this paper we define an explicit E_{infinity}-structure, i.e. a coherently homotopy associative and commutative product on chain complexes defining (integral and mod-l) motivic…