Topological recursion for irregular spectral curves

被引：10

作者：

Do, Norman ^{[1
]}

Norbury, Paul ^{[2
]}

机构：

[1] Monash Univ, Sch Math Sci, 9 Rainforest Walk, Clayton, Vic 3800, Australia

[2] Univ Melbourne, Sch Math & Stat, Parkville, Vic 3010, Australia

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2018年 / 97卷

基金：

澳大利亚研究理事会;

关键词：

COUNTING LATTICE POINTS; MODULI SPACE; INTERSECTION THEORY; INVARIANTS; EQUATIONS;

D O I：

10.1112/jlms.12112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study topological recursion on the irregular spectral curve xy2-xy+1=0, which produces a weighted count of dessins d'enfant. This analysis is then applied to topological recursion on the spectral curve xy2=1, which takes the place of the Airy curve x=y2 to describe asymptotic behaviour of enumerative problems associated to irregular spectral curves. In particular, we calculate all one-point invariants of the spectral curve xy2=1 via a new three-term recursion for the number of dessins d'enfant with one face.

引用

页码：398 / 426

页数：29

共 50 条

[1] Quantization of Classical Spectral Curves via Topological Recursion
Eynard, Bertrand
Garcia-Failde, Elba
Marchal, Olivier
Orantin, Nicolas
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2024, 405 (05)
[2] Higher Airy structures and topological recursion for singular spectral curves
Borot, Gaetan
Kramer, Reinier
Schueler, Yannik
[J]. ANNALES DE L INSTITUT HENRI POINCARE D, 2024, 11 (01): : 1 - 146
[3] Topological recursion and mirror curves
Bouchard, Vincent
Sulkowski, Piotr
[J]. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2012, 16 (05) : 1443 - 1483
[4] Quantization of spectral curves for meromorphic Higgs bundles through topological recursion
Dumitrescu, Olivia
Mulase, Motohico
[J]. TOPOLOGICAL RECURSION AND ITS INFLUENCE IN ANALYSIS, GEOMETRY, AND TOPOLOGY, 2018, 100 : 179 - 229
[5] Quantum curves and topological recursion
Norbury, Paul
[J]. STRING-MATH 2014, 2016, 93 : 41 - 65
[6] Topological recursion and Givental's formalism: Spectral curves for Gromov-Witten theories
Dunin-Barkowski, P.
[J]. TOPOLOGICAL RECURSION AND ITS INFLUENCE IN ANALYSIS, GEOMETRY, AND TOPOLOGY, 2018, 100 : 231 - 295
[7] The Harer-Zagier recursion for an irregular spectral curve
Chekhov, Leonid O.
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2016, 110 : 30 - 43
[8] Topological Recursion for Symplectic Volumes of Moduli Spaces of Curves
Bennett, Julia
Cochran, David
Safnuk, Brad
Woskoff, Kaitlin
[J]. MICHIGAN MATHEMATICAL JOURNAL, 2012, 61 (02) : 331 - 358
[9] The Kontsevich constants for the volume of the moduli of curves and topological recursion
Chapman, Kevin M.
Mulase, Motohico
Safnuk, Brad
[J]. COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2011, 5 (03) : 643 - 698
[10] Topological recursion for the Poincare polynomial of the combinatorial moduli space of curves
Mulase, Motohico
Penkava, Michael
[J]. ADVANCES IN MATHEMATICS, 2012, 230 (03) : 1322 - 1339

← 1 2 3 4 5 →