2014
DOI: 10.1007/s00220-014-2197-4
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Knot Homology and Refined Chern–Simons Index

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Cited by 101 publications
(180 citation statements)
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“…In order to determine them, we can use the result of the refined version of the geometric transition of the resolved conifold discussed in [36][37][38][39]. Recall that a 5-brane web diagram is dual to a toric geometry [20].…”
Section: Higgsing One Full Puncturementioning
confidence: 99%
“…In order to determine them, we can use the result of the refined version of the geometric transition of the resolved conifold discussed in [36][37][38][39]. Recall that a 5-brane web diagram is dual to a toric geometry [20].…”
Section: Higgsing One Full Puncturementioning
confidence: 99%
“…Similarly, SO/Sp Chern-Simons relates to orientifolds of the topological string on the resolved conifold [9]. Recently, a proposal for a refined Chern-Simons partition function has been made in [10,11]. In particular, for SU(N) the proposed partition function yields at large N the known partition function of the refined topological string on the resolved conifold, while the proposed refined SO(2N) partition function has been claimed to correspond to a refined orientifold at large N [12].…”
Section: Introductionmentioning
confidence: 99%
“…We will find that the refined Chern-Simons partition functions on S 3 with refinement parameter β of [10,11] can be obtained by choosing the parameters in the SU(N) case as (−2, 2β, βN, βN, κ) and in the SO(2N) case as (−2, 4β, 2βN − 4β, 2βN − 2β, κ). This can be expressed universally as…”
Section: Introductionmentioning
confidence: 99%
“…In particular, the knot superpolynomials of [49][50][51], constructed with the help of double-affine Hecke algebras (DAHA) [52], still lack a clear R-matrix realization within the Reshetikhin-Turaev (RT) formalism, either original [53][54][55] or modern [56][57][58]. On the other hand, the DIM algebra is naturally related with DAHA by a kind of Schur duality (see [59] for a degenerate version of this correspondence).…”
Section: Jhep10(2016)047mentioning
confidence: 99%