Hodge integrals and invariants of the unknot

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Nettet17. nov. 2003 · Motivated by the Marino-Vafa formula and formula of Gromov-Witten invariants of local toric Calabi-Yau threefolds predicted by physicists, J Zhou conjectured a formula of two-partition 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"

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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. 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 Mariño–Vafa formula and formula of Gromov–Witten invariants gartly advisory

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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 … 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 … NettetHodge integrals and invariants of the unknot A Okounkov R Pandharipande Department of Mathematics, Princeton University Princeton, NJ 08544, USA Email: [email protected], [email protected] Abstract We prove the … black shorts old navy

A Proof of the Full Marino-Vafa Conjecture - ResearchGate

Large N Duality, Lagrangian Cycles, and Algebraic Knots

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 … 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 black shorts nylonNettetconjectured 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 … black shorts on amazon

"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 ... " - Hodge integrals and invariants of the unknot

Hodge integrals and invariants of the unknot

Continuous K-theory and cohomology of rigid spaces

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 ... NettetCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Let Mg,n be the Deligne-Mumford moduli stack of stable curves of genus g

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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 …

NettetFree essays, homework help, flashcards, research papers, book reports, term papers, history, science, politics 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 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 … 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 …

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).

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 Marino–Vafa formula.˜ Motivated by the Marino–Vafa formula and formula of Gromov–Witten invariants˜ black shorts no pocketsNettetWe 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. black shorts nikeNettet11. apr. 2024 · We establish a connection between continuous K-theory and integral cohomology of rigid spaces. Given a rigid analytic space over a complete discretely valued field, its continuous K-groups vanish in degrees below the negative of the dimension. Likewise, the cohomology groups vanish in degrees above the dimension. The main … black short snow bootsNettetThe 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 … gartly aberdeen scotlandNettetWe 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 … black short snakeNettet15. 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 … black shorts no logoNettetWe 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… black shorts outfit for moms