128 citations · 378 across the 23 of their papers we have counts for
23 papers
Adams operations on the virtual K-theory of P(1,n)
Takashi Kimura, Ross Sweet
We analyze the structure of the virtual (orbifold) K-theory ring of the complex orbifold P(1,n) and its virtual Adams (or power) operations, by using the non-Abelian localization t…
A plethora of inertial products
Dan Edidin, Tyler J. Jarvis, Takashi Kimura
For a smooth Deligne-Mumford stack X we describe a large number of inertial products on K(IX) and A*(IX) and corresponding inertial Chern characters. We do this by developing a the…
Chern Classes and Compatible Power Operations in Inertial K-theory
Dan Edidin, Tyler J. Jarvis, Takashi Kimura
Let [X/G] be a smooth Deligne-Mumford quotient stack. In a previous paper the authors constructed a class of exotic products called inertial products on K(I[X/G]), the Grothendieck…
Topological Recursion Relations on
Takashi Kimura, Xiaobo Liu
In this paper, we give some new genus-3 universal equations for Gromov-Witten invariants of compact symplectic manifolds. These equations were obtained by studying new relations in…
Torsion in the full orbifold K-theory of abelian symplectic quotients
Rebecca Goldin, Megumi Harada, Tara S. Holm
Let (M,ω,Φ) be a Hamiltonian T-space and let H be a closed Lie subtorus of T. Under some technical hypotheses on the moment map Φ, we prove that there is no additive torsion in the…
Logarithmic trace and orbifold products
Dan Edidin, Tyler J. Jarvis, Takashi Kimura
We give a purely equivariant construction of orbifold products for quotient Deligne-Mumford stacks [X/G] where G is an arbitrary linear algebraic group (not necessarily finite). Th…