Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


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 will 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.

Connections between these fields are apparent from the physics perspective and research is trying to make rigorous sense of these relationships. Works at the interface of theoretical physics and mathematics are thus welcome in this issue.

The speakers and participants of the conference, and other researchers whose work is directly concerned with the above topics, are invited to submit papers to the special issue. Both original research articles and review papers are welcome.

How to Submit an Article to the Issue.

There is no limit to the length of an article. Deadline for paper submission is December 31, 2019.

All articles will go through the standard peer reviewing procedure of SIGMA.


Papers in this Issue:

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 ]


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