site stats

Hodge integrals and invariants of the unknot

NettetWe prove the Gopakumar–Mariño–Vafa formula for special cubic Hodge integrals. The GMV formula arises from Chern–Simons/string duality applied to the unknot in the three sphere. The GMV formula is a q–analog of the ELSV formula for linear Hodge … NettetFigure 13: The figure shows the Hopf links Li, i = 1, 2, 3. The numbers indicate the framing of each knot. - "Enumerative geometry and knot invariants"

Enumerative Geometry Seminar (Fall 2024) -- Henry Liu

NettetOne-partition Hodge integrals arise in Katz and Liu’s calculations with varying torus weight. Marin˜o and Vafa identified the weight dependence of one-partition Hodge integrals with the framing dependence of invariants of the unknot and conjectured a … NettetFor the GW side, we need the GW vertex, which involves Hodge integrals. The 1-leg and 2-leg cases are in the following papers. A Proof of a Conjecture of Mariño-Vafa on Hodge integrals; Hodge integrals and invariants of the unknot; A Formula of Two-Partition … the future of oculus https://dynamiccommunicationsolutions.com

String Duality and Localization - UCLA Mathematics

NettetThe GMV formula arises from Chern-Simons/string duality applied to the unknot in the three sphere. The GMV formula is a q-analog of the ELSV formula for linear Hodge integrals. We find a system of bilinear localization equations relating linear and special … Nettet15. jul. 2003 · Title:Hodge integrals and invariants of the unknot. Authors:A Okounkov, R Pandharipande. Download PDF. Abstract:We prove the Gopakumar-Marino-Vafa formula for special cubic Hodge integrals. The GMV formula arises from Chern … NettetSpecial case: When K is the unknot, hZ(U;V)i was computed in the zero framing by Ooguri-Vafa and in any framing ¿ 2 Zby Mari˜no-Vafa. Comparing with Katz-Liu’s computations of F(‚;t;V), Mari˜no-Vafa conjectured a striking formula about triple Hodge integrals in terms of Chern-Simons: representations and combi-natorics of symmetric … the future of online courses

CiteSeerX — Hodge integrals and invariants of the unknots

Category:Formulae of one-partition and two-partition Hodge integrals - MSP

Tags:Hodge integrals and invariants of the unknot

Hodge integrals and invariants of the unknot

Three-Partition Hodge Integrals and the Topological Vertex

Nettet1. jan. 2004 · Hodge integrals and invariants of the unknot Hodge integrals and invariants of the unknot. Access Restriction Open. Author: Pandharipande, Rahul ♦ Okounkov, Andrei: Source: Project Euclid: Content type: Text: File Format: PDF: … NettetThe GMV formula arises from Chern-Simons/string duality applied to the unknot in... Skip to main content. Due to a planned power outage on Friday, 1/14, between 8am-1pm PST, some services may be impacted. ... Hodge integrals and invariants of the unknot …

Hodge integrals and invariants of the unknot

Did you know?

NettetCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Let Mg,n be the Deligne-Mumford moduli stack of stable curves of genus g Nettet15. jul. 2003 · The GMV formula arises from Chern-Simons/string duality applied to the unknot in the three sphere. The GMV formula is a q-analog of the ELSV formula for linear Hodge integrals. We find a system of bilinear localization equations relating linear and …

Nettetformula of two-partition Hodge integrals in terms of invariants of the Hopf link and used it to justify the physicists’ predictions. In this expository article, we describe proofs and applications of these two formulae of Hodge integrals based on joint works of K Liu, J … Nettet6. des. 2024 · Request PDF Connecting Hodge Integrals to Gromov–Witten Invariants by Virasoro Operators In this paper, we show that the generating function for linear Hodge integrals over moduli spaces of ...

NettetThe GMV formula arises from Chern-Simons/string duality applied to the unknot in... Skip to main content. Due to a planned power outage on Friday, 1/14, between 8am-1pm PST, some services may be impacted. ... Hodge integrals and invariants of the unknot Item Preview remove-circle Share or Embed This Item. Share to Twitter. Share to Facebook ... Nettet1. jan. 2003 · Hodge integrals and invariants of the unknot. Article. ... M Marino and C Vafa conjectured a formula of one-partition Hodge integrals in term of invariants of the unknot (hep-th/0108064).

NettetThese algebraic relations of operators in the fermionic Fock space are used to convert generating functions of the cubic Hodge integrals and the topological vertex to each other. As a byproduct, the generating function of the cubic Hodge integrals at special values of the parameters $$\overrightarrow{w}$$ w → therein is shown to be a tau function of the …

Nettet22. mar. 2005 · We develop a gluing algorithm for Gromov-Witten invariants of toric Calabi-Yau threefolds based on localization and gluing graphs. The main building block of this algorithm is a generating function of cubic Hodge integrals of special form. ... Hodge Integrals and Invariants of the Unknot. Geom. Topol. 8, 675–699 (2004) MathSciNet ... the alchemist psyko punkzNettetThe GMV formula arises from Chern-Simons/string duality applied to the unknot in the three sphere. The GMV formula is a q-analog of the ELSV formula for linear Hodge integrals. We find a system of bilinear localization equations relating linear and special … the alchemist pptNettet12. jun. 2010 · Okounkov A, Pandharipande R. Hodge integrals and invariants of the unknot. Geom Topol, 2004, 8: 675–699. Article MATH MathSciNet Google Scholar Pan P. A simple proof of Gopakumar-Vafa conjecture for local toric Calabi-Yau manifolds. Comm Math Phys, 2007, 276: 551–569 the alchemist producer instagramNettet15. aug. 2003 · We prove the conjectural relationship recently proposed in Dubrovin and Yang (Commun Number Theory Phys 11:311–336, 2024) between certain special cubic Hodge integrals of the Gopakumar–Mariño ... the alchemist protagonistNettet13. jan. 2010 · The identity (2) implies the Mariño-Vafa formula [62,42,65], a very powerful Hodge integral identity, ... Hodge integrals and invariants of the unknot. Article. Aug 2003; Andrei Okounkov; the future of online news videoNettetconjectured a formula of one-partition Hodge integrals in term of invariants of the unknot. Many Hodge integral identities, including the g conjecture and the ELSV formula, can be obtained by taking limits of the Mariño–Vafa formula. Motivated by the … the alchemist publish dateNettettypically reduce to the Hodge integral formula of [14]. In our new setting we have a de nition, but no longer have access to equivariant localiza-tion: to de ne skein valued invariants we must perturb the holomorphic curve equation so that the boundaries of curves are embedded; necessarily breaking the C action as the xed the future of our high tech goods may lie not