43 citations · 128 across the 47 of their papers we have counts for
4 papers · 1 filter
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…
The motivic cobordism for group actions
Amalendu Krishna
For a linear algebraic group over a field , we define an equivariant version of the Voevodsky's motivic cobordism . We show that this is an oriented cohomology theory w…
Algebraic cobordism theory attached to algebraic equivalence
Amalendu Krishna, Jinhyun Park
Based on the algebraic cobordism theory of Levine and Morel, we develop a theory of algebraic cobordism modulo algebraic equivalence. We prove that this theory can reproduce Chow g…
Completion theorem for equivariant -theory
Amalendu Krishna
In this paper, we study the algebraic analogue of the topological Atiyah-Segal completion theorem. We verify this completion theorem for the algebraic equivariant -theory of smo…