Buryak, A and Tessler, RJ (2017) Matrix Models and A Proof of the Open Analog of Witten’s Conjecture. Communications in Mathematical Physics, 353 (3). pp. 1299-1328. ISSN 0010-3616
Abstract
In a recent work, R. Pandharipande, J. P. Solomon and the second author have initiated a study of the intersection theory on the moduli space of Riemann surfaces with boundary. They conjectured that the generating series of the intersection numbers satisfies the open KdV equations. In this paper we prove this conjecture. Our proof goes through a matrix model and is based on a Kontsevich type combinatorial formula for the intersection numbers that was found by the second author.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 06 Jul 2018 14:29 |
Last Modified: | 31 Jan 2020 15:06 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s00220-017-2899-5 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:132930 |
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