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arXiv · 1712.07098

Extending the Double Ramification Cycle using Jacobians

David Holmes·Jesse Leo Kass·Nicola Pagani
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Abstract

We prove that the extension of the double ramification cycle defined by the first-named author (using modifications of the stack of stable curves) coincides with that defined by the last-two named authors (using an extended Brill-Noether locus on suitable compactified universal Jacobians). In particular, in the untwisted case we deduce that both of these extensions coincide with that constructed by Li and Graber-Vakil using a virtual fundamental class on a space of rubber maps.

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David Holmes, Jesse Leo Kass, Nicola Pagani. 2017-12-19. Extending the Double Ramification Cycle using Jacobians. https://doi.org/10.1007/s40879-018-0256-7

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