6,576 research outputs found
Algebraically constructible functions
An algebraic version of Kashiwara and Schapira's calculus of constructible
functions is used to describe local topological properties of real algebraic
sets, including Akbulut and King's numerical conditions for a stratified set of
dimension three to be algebraic. These properties, which include
generalizations of the invariants modulo 4, 8, and 16 of Coste and Kurdyka, are
defined using the link operator on the ring of constructible functions.Comment: AMS-TeX v2.1, 25 page
Real intersection homology II: A local duality obstruction
We show that the intersection pairing on our real intersection homology
groups is not a dual pairing in general.Comment: 7 pages. Second author grant support adde
Virtual Betti numbers of real algebraic varieties
The weak factorization theorem for birational maps is used to prove that for
all nonnegative i the ith mod 2 Betti number of compact nonsingular real
algebraic varieties has a unique extension to a "virtual Betti number" beta_i
defined for all real algebraic varieties, such that if Y is a closed subvariety
of X, then beta_i(X) = beta_i(X\Y) + beta_i(Y).Comment: 13 pages. Talk by first author, AMS meeting, Northeastern University,
October 5-6, 200
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