
Open access
Date
2017-03Type
- Journal Article
Citations
Cited 12 times in
Web of Science
Cited 8 times in
Scopus
ETH Bibliography
yes
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Abstract
A study of the intersection theory on the moduli space of Riemann surfaces with boundary was recently initiated in a work of R. Pandharipande, J.P. Solomon and the third author, where they introduced open intersection numbers in genus 0. Their construction was later generalized to all genera by J.P. Solomon and the third author. In this paper we consider a refinement of the open intersection numbers by distinguishing contributions from surfaces with different numbers of boundary components, and we calculate all these numbers. We then construct a matrix model for the generating series of the refined open intersection numbers and conjecture that it is equivalent to the Kontsevich-Penner matrix model. An evidence for the conjecture is presented. Another refinement of the open intersection numbers, which describes the distribution of the boundary marked points on the boundary components, is also discussed. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000130072Publication status
publishedExternal links
Journal / series
Journal of High Energy PhysicsVolume
Pages / Article No.
Publisher
SpringerSubject
Differential and Algebraic Geometry; Matrix Models; Topological Strings; Integrable HierarchiesOrganisational unit
02889 - ETH Institut für Theoretische Studien / ETH Institute for Theoretical Studies
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Show all metadata
Citations
Cited 12 times in
Web of Science
Cited 8 times in
Scopus
ETH Bibliography
yes
Altmetrics