Titlebook: Counting Surfaces; CRM Aisenstadt Chair Bertrand Eynard Book 2016 Springer International Publishing Switzerland 2016 Algebraic geometry.Com

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Topological Recursion and Symplectic Invariants,We have seen, in almost all previous chapters, that symplectic invariants and topological recursion play an important role. They give the solution to Tutte’s recursion equation for maps, they give the formal expansion of various matrix integrals, including Kontsevich integral, and they also give the asymptotics of large maps.

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https://doi.org/10.1007/978-3-476-03355-0 unit of magnetization, pointing either upward + or downward −. This can also be represented as a map with bicolored faces black/white, or + ∕−, or any other convenient choice. The color is also called the spin, worth + or −.

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Progress in Mathematical Physicshttp://image.papertrans.cn/c/image/239123.jpg

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proximation for counting continuous surfaces. The physical motivation is the following: in string theory, particles are 1-dimensional loops called strings, and under time evolution their trajectories in space-time are surfaces. Quantum mechanics amounts to averaging over all possible trajectories be

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1544-9998 lly, an important problem in algebraic geometry is to characterize the moduli spaces, by computing not only their volumes, but also other characteristic numbers called intersection numbers..Witten‘s conjecture 978-3-7643-8797-6Series ISSN 1544-9998 Series E-ISSN 2197-1846