Results 21 to 30 of about 697,316 (261)

Intersection numbers on M ¯ g , n $$ {\overline{M}}_{g,n} $$ and BKP hierarchy

open access: yesJournal of High Energy Physics, 2021
In their recent inspiring paper, Mironov and Morozov claim a surprisingly simple expansion formula for the Kontsevich-Witten tau-function in terms of the Schur Q-functions.
Alexander Alexandrov
doaj   +1 more source

Intersections of twisted forms: New theories and double copies

open access: yesNuclear Physics B, 2023
Tree–level scattering amplitudes of particles have a geometrical description in terms of intersection numbers of pairs of twisted differential forms on the moduli space of Riemann spheres with punctures.
Pouria Mazloumi, Stephan Stieberger
doaj   +1 more source

Intersection numbers of polygon spaces [PDF]

open access: yesTransactions of the American Mathematical Society, 2009
We study the intersection ring of the space M ( α 1 , … , α m ) \mathcal {M}(\alpha _1,\ldots ,\alpha _m) of polygons in R 3 \mathbb {R}^3 .
Agapito, José, Godinho, Leonor
openaire   +2 more sources

Intersection graphs of graded ideals of graded rings

open access: yesAIMS Mathematics, 2021
In this article, we introduce and study the intersection graph of graded ideals of a graded ring. The intersection graph of G−graded ideals of a graded ring R, denoted by GrG(R), is undirected simple graph defined on the set of nontrivial graded left ...
Tariq Alraqad   +2 more
doaj   +1 more source

Generating functions for intersection products of divisors in resolved F-theory models

open access: yesNuclear Physics B, 2023
Building on the approach of 1703.00905, we present an efficient algorithm for computing topological intersection numbers of divisors in a broad class of elliptic fibrations with the aid of a symbolic computing tool.
Patrick Jefferson, Andrew P. Turner
doaj   +1 more source

Intersection Homology Betti Numbers [PDF]

open access: yesProceedings of the American Mathematical Society, 1995
A generalization of the formula of Fine and Rao for the ranks of the intersection homology groups of a complex algebraic variety is given. The proof uses geometric properties of intersection homology and mixed Hodge theory.
openaire   +3 more sources

The Intersection Numbers [PDF]

open access: yesTransactions of the American Mathematical Society, 1923
1. In his first memoir on analysis situst Poincaredefined a number N(Fk, Jin_k) which had previously been considered, at least in special cases, by Kronecker. With certain conventions as to sign this number represents the excess of the number of positive over the number of negative intersections of a k-dimensional circuit Fk with an (n k) -dimensional ...
openaire   +1 more source

Local constancy of intersection numbers

open access: yesAlgebra & Number Theory, 2022
We prove that, in certain situations, intersection numbers on formal schemes that come in profinite families vary locally constantly in the parameter. To this end, we define the product $S\times M$ of a profinite set $S$ with a locally noetherian formal scheme $M$ and study intersections thereon.
openaire   +2 more sources

Open intersection numbers, Kontsevich-Penner model and cut-and-join operators [PDF]

open access: yes, 2015
We continue our investigation of the Kontsevich--Penner model, which describes intersection theory on moduli spaces both for open and closed curves.
Alexandrov, Alexander
core   +2 more sources

The symmetry of intersection numbers in group theory [PDF]

open access: yes, 1997
For suitable subgroups of a finitely generated group, we define the intersection number of one subgroup with another subgroup and show that this number is symmetric. We also give an interpretation of this number.Comment: 19 pages.
Cohen   +5 more
core   +5 more sources

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