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Stratified Morse theory
- M. Goresky, R. Macpherson
- Mathematics, Philosophy
- 1988
Suppose that X is a topological space, f is a real valued function on X, and c is a real number. Then we will denote by X ≤c the subspace of points x in X such that f(x)≤c. The fundamental problem of…
Equivariant cohomology, Koszul duality, and the localization theorem
- M. Goresky, R. Kottwitz, R. Macpherson
- Mathematics
- 17 December 1997
(1.1) This paper concerns three aspects of the action of a compact group K on a space X . The ®rst is concrete and the others are rather abstract. (1) Equivariantly formal spaces. These have the…
Intersection homology II
- M. Goresky, R. Macpherson
- Mathematics
- 1 February 1983
In [19, 20] we introduced topological invariants IH~,(X) called intersection homology groups for the study of singular spaces X. These groups depend on the choice of a perversity p: a perversity is a…
Feedback shift registers, 2-adic span, and combiners with memory
- A. Klapper, M. Goresky
- Computer ScienceJournal of Cryptology
- 1 March 1997
TLDR
Fibonacci and Galois representations of feedback-with-carry shift registers
- M. Goresky, A. Klapper
- Computer ScienceIEEE Trans. Inf. Theory
- 1 November 2002
TLDR
On the Spectrum of the Equivariant Cohomology Ring
- M. Goresky, R. Macpherson
- MathematicsCanadian Journal of Mathematics
- 1 April 2010
Abstract If an algebraic torus $T$ acts on a complex projective algebraic variety $X$ , then the affine scheme $\text{Spec}\,H_{T}^{*}\left( X;\,\mathbb{C} \right)$ associated with the equivariant…
2-Adic Shift Registers
- A. Klapper, M. Goresky
- Computer ScienceFSE
- 9 December 1993
TLDR
An Introduction to Abstract Algebra
- A. Klapper, M. Goresky
- Mathematics, Computer Science
- 2005
TLDR
Loop Products and Closed Geodesics
- M. Goresky, Nancy Hingston
- Mathematics
- 24 July 2007
We show the Chas-Sullivan product (on the homology of the free loop space of a Riemannian manifold) is related to the Morse index of its closed geodesics. We construct related products in the…
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