Special Issue on Integrability, Geometry, Moduli in honor of Motohico Mulase for his 65th birthday

The Guest Editors for this special issue are

Gaëtan Borot (Max Planck Institute for Mathematics, Bonn, Germany)
Olivia Dumitrescu (Central Michigan University, USA)
Steven Rayan (University of Saskatchewan, Canada)
Don Zagier (Max Planck Institute for Mathematics, Bonn, Germany)

Topics for this special issue include:

• quantization of moduli spaces, in particular the Hitchin moduli space of Higgs bundles;
• Gromov–Witten theory, Frobenius manifolds, integrable hierarchies, cohomological field theories;
• geometry of quiver varieties, wall-crossing phenomena;
• mirror symmetry, topological string theory, quantum invariants of 3-manifolds;
• topological recursion, quantum curves, and application to geometry and enumerative problems (Hurwitz theory, random matrix theory, ribbon graphs).

This issue is related to the conference in honor of Motohico Mulase's 65th birthday held at the Max Planck Institute for Mathematics in Bonn, July 29th – August 2nd 2019.

The volume consists of 12 papers for a total of 744 pages.

We are grateful to all the authors who contributed to this volume and to the referees for providing constructive reviews.

Papers in this Issue:

Unobstructed Immersed Lagrangian Correspondence and Filtered $A_{\infty}$ Functor

Kenji Fukaya
SIGMA 21 (2025), 031, 284 pages   [ abs   pdf ]

Sign Convention for $A_{\infty}$-Operations in Bott-Morse Case

Kaoru Ono
SIGMA 21 (2025), 030, 16 pages   [ abs   pdf ]

Interplay between Opers, Quantum Curves, WKB Analysis, and Higgs Bundles

Olivia Dumitrescu and Motohico Mulase
SIGMA 17 (2021), 036, 53 pages   [ abs   pdf ]

Motivic Donaldson-Thomas Invariants of Parabolic Higgs Bundles and Parabolic Connections on a Curve

Roman Fedorov, Alexander Soibelman and Yan Soibelman
SIGMA 16 (2020), 070, 49 pages   [ abs   pdf ]

Triply Periodic Monopoles and Difference Modules on Elliptic Curves

Takuro Mochizuki
SIGMA 16 (2020), 048, 23 pages   [ abs   pdf ]

Generalized B-Opers

Indranil Biswas, Laura P. Schaposnik and Mengxue Yang
SIGMA 16 (2020), 041, 28 pages   [ abs   pdf ]

Quantum Statistical Mechanics of the Absolute Galois Group

Yuri I. Manin and Matilde Marcolli
SIGMA 16 (2020), 038, 52 pages   [ abs   pdf ]

Global Mirrors and Discrepant Transformations for Toric Deligne-Mumford Stacks

Hiroshi Iritani
SIGMA 16 (2020), 032, 111 pages   [ abs   pdf ]

Non-Abelian Hodge Theory and Related Topics

Pengfei Huang
SIGMA 16 (2020), 029, 34 pages   [ abs   pdf ]

Virtual Classes for the Working Mathematician

Luca Battistella, Francesca Carocci and Cristina Manolache
SIGMA 16 (2020), 026, 38 pages   [ abs   pdf ]

Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes

Elba Garcia-Failde, Reinier Kramer, Danilo Lewański and Sergey Shadrin
SIGMA 15 (2019), 080, 27 pages   [ abs   pdf ]

Loop Equations for Gromov-Witten Invariant of $\mathbb{P}^1$

Gaëtan Borot and Paul Norbury
SIGMA 15 (2019), 061, 29 pages   [ abs   pdf ]