Articles with "genus two" as a keyword



Eigenvalue equation for genus two modular graphs

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Published in 2019 at "Journal of High Energy Physics"

DOI: 10.1007/jhep02(2019)046

Abstract: A bstractWe obtain a second order differential equation on moduli space satisfied by certain modular graph functions at genus two, each of which has two links. This eigenvalue equation is obtained by analyzing the variations… read more here.

Keywords: genus two; eigenvalue equation; equation; two modular ... See more keywords

Poisson equation for genus two string invariants: a conjecture

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Published in 2021 at "Journal of High Energy Physics"

DOI: 10.1007/jhep04(2021)050

Abstract: We consider some string invariants at genus two that appear in the analysis of the D8ℛ4 and D6ℛ5 interactions in type II string theory. We conjecture a Poisson equation involving them and the Kawazumi-Zhang invariant… read more here.

Keywords: string invariants; genus two; poisson equation; conjecture poisson ... See more keywords

Machine learning for moduli space of genus two curves and an application to isogeny-based cryptography

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Published in 2024 at "Journal of Algebraic Combinatorics"

DOI: 10.1007/s10801-025-01393-8

Abstract: We use machine learning to study the moduli space of genus two curves, specifically focusing on detecting whether a genus two curve has (n, n)-split Jacobian. Based on such techniques, we observe that there are… read more here.

Keywords: genus two; machine learning; two curves; cryptography ... See more keywords

Non degenerating Dehn fillings on genus two Heegaard splittings of knots′ complements

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Published in 2018 at "Science China Mathematics"

DOI: 10.1007/s11425-017-9093-5

Abstract: It is Thurston’s result that for a hyperbolic knot K in S3, almost all Dehn fillings on its complement result in hyperbolic 3-manifolds except some exceptional cases. So almost all produced 3-manifolds have the same… read more here.

Keywords: dehn fillings; genus two; heegaard splittings; fillings genus ... See more keywords

Askey–Wilson polynomial and genus-two skein module

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Published in 2025 at "Journal of Physics A: Mathematical and Theoretical"

DOI: 10.1088/1751-8121/ae144a

Abstract: Based on the q-difference operators for the genus-two skein algebra, we show the correspondence between the reduced Askey–Wilson polynomials and the skein module of the genus-2 handlebody. read more here.

Keywords: askey wilson; genus two; two skein; wilson polynomial ... See more keywords

Geometric free field realization for the genus-two class S theory of type a1

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Published in 2021 at "Physical Review D"

DOI: 10.1103/physrevd.104.065015

Abstract: We present a free field realisation for the vertex operator algebra associated to the genus-two, class S superconformal field theory of type a1. The free field realisation is in the style of recent work by… read more here.

Keywords: field; theory type; free field; two class ... See more keywords

A new genus and two new species of eriophyoid mites (Acari: Eriophyidae) from Malaysia

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Published in 2018 at "Systematic and Applied Acarology"

DOI: 10.11158/saa.23.12.7

Abstract: Abstract A new genus and two new species of the family Eriophyidae (Acari: Eriophyoidea) from Mountain Trusmadi, Malaysia are described and illustrated. They are Trusmadius acalypher gen. nov. and sp. nov. on Acalypha sp. (Euphorbiaceae)… read more here.

Keywords: new genus; genus two; malaysia; two new ... See more keywords

Deformation of singular fibers of genus two fibrations and small exotic symplectic 4-manifolds

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Published in 2019 at "International Journal of Mathematics"

DOI: 10.1142/s0129167x19500174

Abstract: We introduce the [Formula: see text]-nodal spherical deformation of certain singular fibers of genus two fibrations, and use such deformations to construct various examples of simply connected minimal symplectic [Formula: see text]-manifolds with small topology.… read more here.

Keywords: fibers genus; singular fibers; formula see; see text ... See more keywords
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Description of a new genus and two new species of Anacolini (Coleoptera, Cerambycidae, Prioninae) from South America.

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Published in 2018 at "Zootaxa"

DOI: 10.11646/zootaxa.4500.2.8

Abstract: A new genus, Homoeomyzo gen. nov. and new species H. katsurai sp. nov. are described from Venezuela. A new species Oideterus birai sp. nov. is described from Colombia. The new genus is included in a… read more here.

Keywords: new genus; genus two; two new; new species ... See more keywords

Description of a new genus and two new species of the funnel-web mygalomorph (Araneae: Mygalomorphae: Macrothelidae) from China with notes on taxonomic amendments.

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Published in 2022 at "Zootaxa"

DOI: 10.11646/zootaxa.5125.5.3

Abstract: A new genus of the spider family Macrothelidae Simon, 1892, Vacrothele Tang Yang gen. nov. is described, along with two new species: V. pseudohunanica sp. nov., V. uncata sp. nov.. Three Macrothele species are transferred… read more here.

Keywords: genus two; description new; two new; new genus ... See more keywords

A new genus and two new species of Azeliinae from China (Diptera: Muscidae).

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Published in 2022 at "Zootaxa"

DOI: 10.11646/zootaxa.5154.3.11

Abstract: A new genus, Chuntiania Xue, gen. nov., including two new species, namely Chuntiania scutiseta Xue, sp. nov. and Chuntiania fuchaooi Xue Yang, sp. nov., is described from China. A key to the genera of Azeliinae… read more here.

Keywords: species azeliinae; genus two; two new; new genus ... See more keywords