Hodge integrals and invariants of the unknot

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August undefined, 2024

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 … Nettet19. nov. 2024 · In this paper, we show that the generating function for linear Hodge integrals over moduli spaces of stable maps to a nonsingular projective variety X can be connected to the generating function for Gromov–Witten invariants of X by a series of …

NDLI: Hodge integrals and invariants of the unknot

NettetWe prove the Gopakumar-Marino-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 integrals. We find a system of bilinear localization equations relating linear and special cubic … 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 … brother justio fax-2840 説明書

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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" NettetHodge integrals and invariants of the unknot. Okounkov, A.; Pandharipande, R. Geometry & Topology (2004) Volume: 8, page 675-699; ISSN: 1465-3060; Access Full Article top Access to full text Full (PDF) How to cite top Nettet7. okt. 2012 · Okounkov A., Pandharipande R.: Hodge integrals and invariants of the unknot. Geom. Topol. 8, 675–699 (2004) Article MathSciNet MATH Google Scholar Ooguri H., Vafa C.: Knot invariants and topological strings. Nucl. Phys. B577, 419–438 (2000) Article MathSciNet ADS Google Scholar brother justice mn

Large N Duality, Lagrangian Cycles, and Algebraic Knots

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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 … 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 … brother jukebox tabsNettetconjectured 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 Mariño–Vafa formula and formula of Gromov–Witten invariants brother jon\\u0027s alehouse bend

"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 … " - Hodge integrals and invariants of the unknot

Hodge integrals and invariants of the unknot

Nettettypically 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 Nettet11. feb. 2015 · Viewed 446 times. 2. Genus of knot is defined to be the least genus among all Seifert surfaces of knot. Crossing number is the minimal number of crossings over all possible diagrams. Both genus of knot and crossing number are known to be invariants of knots. I ask whether there is a known relationship between these two invariants.

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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 ... Nettet15. 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 ...

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 … 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).

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 … Nettetconjectured 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 …

NettetCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We 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 …

NettetPandharipande, Hodge integrals and invariants of the unknot, Geom. Random surfaces enumerating algebraic curves. More precisely, if L is a link with ℓ components, we consider a Heegaard decomposition of S 3 as Uα ∪ Uβ , with the property that L ∩ Uα and L ∩ Uβ consists of ℓ unknotted arcs. brother jon\u0027s bend orNettetWe prove the Gopakumar-Marino-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 integrals. brother justus addressNettetCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We 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 … brother juniper\u0027s college inn memphisNettetCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Let Mg,n be the Deligne-Mumford moduli stack of stable curves of genus g brother kevin ageNettet22. 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 ... brother justus whiskey companyNettetCalabi–Yau condition. The linear Hodge integrals can be recovered from the special cubic Hodge integrals by a limit: H g(z;t 1) = lim t2,t3→0 H g(z;t,t2,t3), (0.4) where t1 is held ﬁxed and the parameters are subject to the constraint (0.3). We prove two formulas for … brother keepers programNettetWe prove that any regular integral invariant of volume-preserving transformations is equivalent to the helicity. Specifically, given a functional defined on exact divergence-free vector fields of class on a compact 3… brother jt sweatpants