Nettet13. 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;

Large N Duality, Lagrangian Cycles, and Algebraic Knots

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. 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 … check cox wifi speed

Localization and Gluing of Topological Amplitudes SpringerLink

NettetCalabi–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 … 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. NettetFree essays, homework help, flashcards, research papers, book reports, term papers, history, science, politics check cpa results