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• W3104818722 abstract "The behavior near the boundary in the Deligne-Mumford compactification of many functions on the moduli space of pointed Riemann surfaces can be conveniently expressed using the notion of point-like limit that we adopt from the string theory literature. In this note we study a function on the moduli space of Riemann surfaces that has been introduced by N. Kawazumi and S. Zhang, independently. We show that the point-like limit of the Zhang-Kawazumi invariant in a family of hyperelliptic Riemann surfaces in the direction of any hyperelliptic stable curve exists, and is given by evaluating a combinatorial analogue of the Zhang-Kawazumi invariant, also introduced by Zhang, on the dual graph of that stable curve." @default.
• W3104818722 created "2020-11-23" @default.
• W3104818722 creator A5083614941 @default.
• W3104818722 date "2015-01-01" @default.
• W3104818722 modified "2023-10-01" @default.
• W3104818722 title "Point-like limit of the hyperelliptic Zhang–Kawazumi invariant" @default.
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• W3104818722 doi "https://doi.org/10.4310/pamq.2015.v11.n4.a4" @default.
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