Topology of tropical moduli spaces of weighted stable curves in higher genus

نویسندگان

چکیده

Abstract We study the topology of moduli spaces weighted stable tropical curves Δ g , w with fixed genus and unit volume. The space arises as dual complex divisor singular in Hassett’s M curves. When is positive, we show that simply connected for any choice weight vector . also give a formula Euler characteristic terms combinatorics vector.

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ژورنال

عنوان ژورنال: Advances in Geometry

سال: 2023

ISSN: ['1615-715X', '1615-7168']

DOI: https://doi.org/10.1515/advgeom-2023-0009