Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Goresky, Mark"'
Autor:
Alon, Lior, Goresky, Mark
Let $G$ be a simple, connected graph on $n$ vertices, and further assume that $G$ has disjoint cycles. Let $h$ be a real symmetric matrix supported on $G$ (for example, a discrete Schr\"odinger operator). The eigenvalues of $h$ are ordered increasing
Externí odkaz:
http://arxiv.org/abs/2403.01033
Autor:
Alon, Lior, Goresky, Mark
Given a discrete Schr\"odinger operator $h$ on a finite connected graph $G$ of $n$ vertices, the nodal count $\phi(h,k)$ denotes the number of edges on which the $k$-th eigenvector changes sign. A {\em signing} $h'$ of $h$ is any real symmetric matri
Externí odkaz:
http://arxiv.org/abs/2212.00830
We discuss ways in which tools from topology can be used to derive lower bounds for the circuit complexity of Boolean functions.
Externí odkaz:
http://arxiv.org/abs/2205.14424
Autor:
Goresky, Mark
Informal lecture notes with examples on sheaf theory and the derived category of sheaves; sheaves and Morse theory; perverse sheaves, and some applications to representation theory. Added Oct 2021: cellular perverse sheaves. Proofs are outlined with
Externí odkaz:
http://arxiv.org/abs/2105.12045
Autor:
Aluffi, Paolo, Goresky, Mark
Publikováno v:
A panorama of singularities, 1-11. Contemp. Math., 742 (2020)
Integrals of the Pfaffian form over the nonsingular part of a projective variety compute information closely related to the Mather-Chern class of the variety and to other invariants such as the local Euler obstruction along strata of its singular loc
Externí odkaz:
http://arxiv.org/abs/1901.06312
Autor:
Goresky, Mark, Tai, Yung-sheng
The authors define an "anti-holomorphic" involution (or "real structure") on an ordinary Abelian variety (defined over a finite field k) to be an involution of the associated Deligne module (T,F,V) that exchanges F (the Frobenius) with V (the Verschi
Externí odkaz:
http://arxiv.org/abs/1701.07742
Publikováno v:
Advances in Mathematics 268 (2015) 85-128
The flag vector contains all the face incidence data of a polytope, and in the poset setting, the chain enumerative data. It is a classical result due to Bayer and Klapper that for face lattices of polytopes, and more generally, Eulerian graded poset
Externí odkaz:
http://arxiv.org/abs/1201.3377