The cohomology rings of symplectic quotients

By S. Tolman, J. Weitsman. 2003

92 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Exact cohomology sequences with integral coefficients for torus actions (2005, background): “Weitsman [ TW1 , Proposition 7.2] and Schmid’s version of the Chang–Skjelbred lemma [S, Th´eor`eme 3.2.1] in the case of connected isotropy groups.”
Surjectivity for Hamiltonian G-spaces in K-theory (2005, methodology): “As we mentioned above, when working with integral cohomology, one needs to place additional constraints on the torsion to establish the Atiyah-Bott lemma and its consequences (see [39]), but such torsion constraints are not present in the K -theoretic version.”
On a symplectic generalization of Petrie’s conjecture (2009, unknown): “is idea to prove three remarkable theorems: “perfection”, “injectivity”, and “formality” [Ki]. Let R = Z if the ﬁxed set is torsion free, that is, H∗(MS1;Z) has no torsion; otherwise, let R = Q. (See [ToWe1] for comments on the integral case.) Let F be any ﬁxed component, and let M± = Φ−1(−∞,Φ(F)±ǫ)”