146 citations · 484 across the 48 of their papers we have counts for
4 papers · 1 filter
The Duistermaat-Heckman formula and Chern-Schwartz-MacPherson classes
Allen Knutson
Let M be a smooth complex projective variety, bearing a Kähler symplectic form ωand a Hamiltonian action of a torus T, with finitely many fixed points M^T. One standard form of the…
Orbifold cohomology of torus quotients
Rebecca Goldin, Tara S. Holm, Allen Knutson
We introduce the_inertial cohomology ring_ NH^*_T(Y) of a stably almost complex manifold carrying an action of a torus T. We show that in the case that Y has a locally free action…
A limit of toric symplectic forms that has no periodic Hamiltonians
Jean-Claude Hausmann, Allen Knutson
We calculate the Riemann-Roch number of some of the pentagon spaces defined in [Klyachko,Kapovich-Millson,HK1]. Using this, we show that while the regular pentagon space is diffeom…
The cohomology ring of symplectic cuts
Jean-Claude Hausmann, Allen Knutson
The ``symplectic cut'' construction [Lerman] produces two symplectic orbifolds and from a symplectic manifold with a Hamiltonian circle action. We compute the ratio…