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

Special Issue on Combinatorics of Moduli Spaces: Integrability, Cohomology, Quantisation, and Beyond

The Guest Editors for this special issue are

Jørgen Ellegaard Andersen (Aarhus University, Denmark)
Leonid Chekhov (Steklov Mathematical Institute, Moscow, Russia)
Sergei Lando (Higher School of Economics, Moscow, Russia)

The issue is related to the 5th Workshop on Combinatorics of Moduli Spaces, Hurwitz Numbers, and Cohomological Field Theories, June 6–11, 2016, Moscow, Russia.

The scope is a little wider than the announced conference title and includes: problems related to cell decompositions of moduli spaces of algebraic curves and their extensions to spin and Hitchin systems, problems related to Hurwitz numbers including problems of integrability, quantisation of moduli spaces, quantum Riemann surfaces, cluster algebras of geometrical origin and problems of positivity, related constructions based on the topological recursion method, cell decompositions of 3D manifolds, notably, knot invariants, cohomological field theories related to geometrical systems.

Papers from the participants and from other authors whose work fits into the topics are welcome for this issue.

How to Submit an Article to the Issue.

Both original research articles and review papers will be considered (not published or considered for publication elsewhere).

There is no limit to the length of an article. Deadline for paper submission is March 31, 2017.

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

Papers in this Issue:

Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach
Chaiho Rim
SIGMA 13 (2017), 012, 23 pages   [ abs   pdf ]
$q$-Difference Kac-Schwarz Operators in Topological String Theory
Kanehisa Takasaki and Toshio Nakatsu
SIGMA 13 (2017), 009, 28 pages   [ abs   pdf ]

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