9 citations · 22 across the 11 of their papers we have counts for
13 papers
Equivariant formality and representation theory
Chi-Kwong Fok
Let be a compact connected Lie group and its connected Lie subgroup. Using the -theoretic version of equivariant formality developed in [F2] which involves analysis of v…
A stroll in equivariant -theory
Chi-Kwong Fok
Equivariant -theory is a generalized equivariant cohomology theory which is a hybrid of the -theory of a topological space and the representation theory of the group acting o…
Cohomology and -theory rings of the space of commuting elements in
Chi-Kwong Fok
In this paper, we compute explicitly both the -theory and integral cohomology rings of the space of commuting elements in via the -theory of its desingularization. We…
Quantum multiplication through equivariant Schubert calculus
Chi-Kwong Fok
In this note, we rederive quantum Pieri's formula and the rim hook algorithm in quantum Schubert calculus by studying multiplication in the equivariant cohomology ring of Grassmann…
Adams operations on twisted -theory of compact Lie groups
Chi-Kwong Fok
In this paper, extending the results in \cite{F}, we compute Adams operations on twisted -theory of connected, simply-connected and simple compact Lie groups , in both equiva…
The ring structure of twisted equivariant -theory for noncompact Lie groups
Chi-Kwong Fok, Varghese Mathai
Let be a connected semisimple Lie group with its maximal compact subgroup being simply-connected. We show that the twisted equivariant -theory $KK^{\bullet}_{G}(G/K, τ_…