On explicit formulae of LMOV invariants

Zhu, Shengmao

doi:10.1007/jhep10(2019)076

Cited by 5 publications

(2 citation statements)

References 87 publications

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“…± 0.12(syst.) × 10 −7 cm −2 s −1 [37] while the flux in A6 is 2.7 × 10 −7 cm −2 s −1 [38]. Experimental rooms are built in the caverns located at the mid-sections of the tunnels.…”

Section: Experimental Site At the Yangyang Underground Laboratorymentioning

confidence: 99%

Initial performance of the COSINE-100 experiment

et al. 2018

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COSINE is a dark matter search experiment based on an array of low background NaI(Tl) crystals located at the Yangyang underground laboratory. The assembly of COSINE-100 was completed in the summer of 2016 and the detector is currently collecting physics quality data aimed at reproducing the DAMA/LIBRA experiment that reported an annual modulation signal. Stable operation has been achieved and will continue for at least 2 years. Here, we describe the design of COSINE-100, including the shielding arrangement, the configuration of the NaI(Tl) crystal detection elements, the veto systems, and the associated operational systems, and we show the current performance of the experiment. a

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Section: Experimental Site At the Yangyang Underground Laboratorymentioning

confidence: 99%

Initial performance of the COSINE-100 experiment

et al. 2018

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“…A proof for 2-bridge knots appeared recently in [22], whereas [23] explores the relation to combinatorics of counting paths. On the other hand [24] proposes a relation between quivers and topological strings on various Calabi-Yau manifolds and [25] contains many explicit formulas obtained in the context of LMOV invariants.…”

Section: )mentioning

confidence: 99%

Multi-cover skeins, quivers, and 3d $$ \mathcal{N} $$ = 2 dualities

Ekholm

Kucharski

Longhi

2020

J. High Energ. Phys.

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The relation between open topological strings and representation theory of symmetric quivers is explored beyond the original setting of the knot-quiver correspondence. Multiple cover generalizations of the skein relation for boundaries of holomorphic disks on a Lagrangian brane are observed to generate dual quiver descriptions of the geometry. Embedding into M-theory, a large class of dualities of 3d N = 2 theories associated to quivers is obtained. The multi-cover skein relation admits a compact formulation in terms of quantum torus algebras associated to the quiver and in this language the relations are similar to wall-crossing identities of Kontsevich and Soibelman. JHEP02(2020)018 6.3 Review of wall-crossing 34 6.4 Wall-crossing as multi-cover skein relations: the pentagon 35 6.5 Operator form of the multi-cover skein relation 37 6.6 Quantum torus algebra and holomorphic curve counting 38 6.7 Beyond the pentagon 40 6.8 Quantum gluing of 3-manifolds along tori 40 6.8.1 Semi-classical limit, disk potentials, and Lagrangian correspondences 41 6.8.2 The quantized Lagrangian correspondence 42A Multi-cover skein relations beyond disks 43 B Nonuniqueness of the quiver for a given knot -4 1 example 45 C Details of generalized multi-cover skein identities 46

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Integrality structures in topological strings and quantum 2-functions

Zhu

2022

J. High Energ. Phys.

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In this article, we first prove the integrality of an explicit disc counting formula obtained by Panfil and Sulkowski for a class of toric Calabi-Yau manifolds named generalized conifolds. Then, motivated by the integrality structures in open topological string theory, we introduce a mathematical notion of “quantum 2-function” which can be viewed as the quantization of the notion of “2-function” introduced by Schwarz, Vologod-sky and Walcher. Finally, we provide a basic example of quantum 2-function and discuss the quantization of 2-functions.

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On explicit formulae of LMOV invariants

Cited by 5 publications

References 87 publications

Initial performance of the COSINE-100 experiment

Initial performance of the COSINE-100 experiment

Multi-cover skeins, quivers, and 3d $$ \mathcal{N} $$ = 2 dualities

Integrality structures in topological strings and quantum 2-functions

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