---
_id: '66337'
abstract:
- lang: eng
  text: The moduli space $M_g^{trop}$ of tropical curves of genus $g$ is a generalized
    cone complex that parametrizes metric vertex-weighted graphs of genus $g$. For
    each such graph $Γ$, the associated canonical linear system $\vert K_Γ\vert$ has
    the structure of a polyhedral complex. In this article we propose a tropical analogue
    of the Hodge bundle on $M_g^{trop}$ and study its basic combinatorial properties.
    Our construction is illustrated with explicit computations and examples.
author:
- first_name: Bo
  full_name: Lin, Bo
  last_name: Lin
- first_name: Martin
  full_name: Ulirsch, Martin
  id: '114697'
  last_name: Ulirsch
citation:
  ama: Lin B, Ulirsch M. Towards a tropical Hodge bundle. <i>arXiv:170104385</i>.
    Published online 2017. doi:<a href="https://doi.org/10.1007/978-1-4939-7486-3_16">10.1007/978-1-4939-7486-3_16</a>
  apa: Lin, B., &#38; Ulirsch, M. (2017). Towards a tropical Hodge bundle. <i>ArXiv:1701.04385</i>.
    <a href="https://doi.org/10.1007/978-1-4939-7486-3_16">https://doi.org/10.1007/978-1-4939-7486-3_16</a>
  bibtex: '@article{Lin_Ulirsch_2017, title={Towards a tropical Hodge bundle}, DOI={<a
    href="https://doi.org/10.1007/978-1-4939-7486-3_16">10.1007/978-1-4939-7486-3_16</a>},
    journal={arXiv:1701.04385}, author={Lin, Bo and Ulirsch, Martin}, year={2017}
    }'
  chicago: Lin, Bo, and Martin Ulirsch. “Towards a Tropical Hodge Bundle.” <i>ArXiv:1701.04385</i>,
    2017. <a href="https://doi.org/10.1007/978-1-4939-7486-3_16">https://doi.org/10.1007/978-1-4939-7486-3_16</a>.
  ieee: 'B. Lin and M. Ulirsch, “Towards a tropical Hodge bundle,” <i>arXiv:1701.04385</i>,
    2017, doi: <a href="https://doi.org/10.1007/978-1-4939-7486-3_16">10.1007/978-1-4939-7486-3_16</a>.'
  mla: Lin, Bo, and Martin Ulirsch. “Towards a Tropical Hodge Bundle.” <i>ArXiv:1701.04385</i>,
    2017, doi:<a href="https://doi.org/10.1007/978-1-4939-7486-3_16">10.1007/978-1-4939-7486-3_16</a>.
  short: B. Lin, M. Ulirsch, ArXiv:1701.04385 (2017).
date_created: 2026-07-08T07:08:13Z
date_updated: 2026-07-08T08:37:58Z
doi: 10.1007/978-1-4939-7486-3_16
external_id:
  arxiv:
  - '1701.04385'
language:
- iso: eng
publication: arXiv:1701.04385
status: public
title: Towards a tropical Hodge bundle
type: journal_article
user_id: '82981'
year: '2017'
...