Matches in SemOpenAlex for { <https://semopenalex.org/work/W2951837265> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W2951837265 abstract "Hurwitz numbers, which count certain covers of the projective line (or, equivalently, factorizations of permuations into transpositions), have been extensively studied for over a century. The Gromov-Witten potential F of a point, the generating series for Hodge integrals on the moduli space of curves, has been a central object of study in Gromov-Witten theory. We define a slightly enriched Gromov-Witten potential G (including integrals involving one lambda-class), and show that after a non-trivial change of variables, G=H in positive genus, where H is a generating series for Hurwitz numbers. We prove a conjecture of Goulden and Jackson on higher genus Hurwitz numbers, which turns out to be an analogue of a genus expansion ansatz of Itzykson and Zuber. As consequences, we have new combinatorial constraints on F, and a much more direct proof of the ansatz of Itzykson and Zuber. We can produce recursions and explicit formulas for Hurwitz numbers; the algorithm presented should prove such recursions. Furthermore, there are many more recursions than previously suspected from geometry (and indeed they should exist in all genera); as examples we present surprisingly simple new recursions in genus up to 3 that are geometrically mysterious. As we expect this paper also to be of interest to combinatorialists, we have tried to make it as self-contained as possible, including reviewing some results and definitions well known in algebraic and symplectic geometry, and mathematical physics." @default.
- W2951837265 created "2019-06-27" @default.
- W2951837265 creator A5013856193 @default.
- W2951837265 creator A5044873827 @default.
- W2951837265 creator A5090767491 @default.
- W2951837265 date "1999-10-01" @default.
- W2951837265 modified "2023-09-23" @default.
- W2951837265 title "The Gromov-Witten potential of a point, Hurwitz numbers, and Hodge integrals" @default.
- W2951837265 cites W1603566380 @default.
- W2951837265 cites W1972563066 @default.
- W2951837265 cites W1978440224 @default.
- W2951837265 cites W2003448897 @default.
- W2951837265 cites W2021681283 @default.
- W2951837265 cites W2034404907 @default.
- W2951837265 cites W2088435604 @default.
- W2951837265 cites W2094523459 @default.
- W2951837265 cites W2124879823 @default.
- W2951837265 cites W2143124613 @default.
- W2951837265 cites W2241571710 @default.
- W2951837265 cites W2950123274 @default.
- W2951837265 cites W2952249854 @default.
- W2951837265 cites W2952454558 @default.
- W2951837265 cites W2952622552 @default.
- W2951837265 cites W3104501251 @default.
- W2951837265 hasPublicationYear "1999" @default.
- W2951837265 type Work @default.
- W2951837265 sameAs 2951837265 @default.
- W2951837265 citedByCount "3" @default.
- W2951837265 countsByYear W29518372652021 @default.
- W2951837265 crossrefType "posted-content" @default.
- W2951837265 hasAuthorship W2951837265A5013856193 @default.
- W2951837265 hasAuthorship W2951837265A5044873827 @default.
- W2951837265 hasAuthorship W2951837265A5090767491 @default.
- W2951837265 hasConcept C120501884 @default.
- W2951837265 hasConcept C130979935 @default.
- W2951837265 hasConcept C134306372 @default.
- W2951837265 hasConcept C136119220 @default.
- W2951837265 hasConcept C143724316 @default.
- W2951837265 hasConcept C151730666 @default.
- W2951837265 hasConcept C157369684 @default.
- W2951837265 hasConcept C168619227 @default.
- W2951837265 hasConcept C202444582 @default.
- W2951837265 hasConcept C2780990831 @default.
- W2951837265 hasConcept C33923547 @default.
- W2951837265 hasConcept C37914503 @default.
- W2951837265 hasConcept C59822182 @default.
- W2951837265 hasConcept C73373263 @default.
- W2951837265 hasConcept C86803240 @default.
- W2951837265 hasConcept C90119067 @default.
- W2951837265 hasConcept C9376300 @default.
- W2951837265 hasConceptScore W2951837265C120501884 @default.
- W2951837265 hasConceptScore W2951837265C130979935 @default.
- W2951837265 hasConceptScore W2951837265C134306372 @default.
- W2951837265 hasConceptScore W2951837265C136119220 @default.
- W2951837265 hasConceptScore W2951837265C143724316 @default.
- W2951837265 hasConceptScore W2951837265C151730666 @default.
- W2951837265 hasConceptScore W2951837265C157369684 @default.
- W2951837265 hasConceptScore W2951837265C168619227 @default.
- W2951837265 hasConceptScore W2951837265C202444582 @default.
- W2951837265 hasConceptScore W2951837265C2780990831 @default.
- W2951837265 hasConceptScore W2951837265C33923547 @default.
- W2951837265 hasConceptScore W2951837265C37914503 @default.
- W2951837265 hasConceptScore W2951837265C59822182 @default.
- W2951837265 hasConceptScore W2951837265C73373263 @default.
- W2951837265 hasConceptScore W2951837265C86803240 @default.
- W2951837265 hasConceptScore W2951837265C90119067 @default.
- W2951837265 hasConceptScore W2951837265C9376300 @default.
- W2951837265 hasLocation W29518372651 @default.
- W2951837265 hasOpenAccess W2951837265 @default.
- W2951837265 hasPrimaryLocation W29518372651 @default.
- W2951837265 hasRelatedWork W1496103783 @default.
- W2951837265 hasRelatedWork W1613698680 @default.
- W2951837265 hasRelatedWork W1857235333 @default.
- W2951837265 hasRelatedWork W1902443302 @default.
- W2951837265 hasRelatedWork W1995997385 @default.
- W2951837265 hasRelatedWork W2073117831 @default.
- W2951837265 hasRelatedWork W2134137235 @default.
- W2951837265 hasRelatedWork W2231877587 @default.
- W2951837265 hasRelatedWork W2548519823 @default.
- W2951837265 hasRelatedWork W2899110854 @default.
- W2951837265 hasRelatedWork W2900610615 @default.
- W2951837265 hasRelatedWork W2950706288 @default.
- W2951837265 hasRelatedWork W2950798090 @default.
- W2951837265 hasRelatedWork W2952760133 @default.
- W2951837265 hasRelatedWork W2963175646 @default.
- W2951837265 hasRelatedWork W2967465533 @default.
- W2951837265 hasRelatedWork W2996094087 @default.
- W2951837265 hasRelatedWork W3011331414 @default.
- W2951837265 hasRelatedWork W3103944557 @default.
- W2951837265 hasRelatedWork W3105737775 @default.
- W2951837265 isParatext "false" @default.
- W2951837265 isRetracted "false" @default.
- W2951837265 magId "2951837265" @default.
- W2951837265 workType "article" @default.