[{"type":"journal_article","date_created":"2026-07-08T07:08:13Z","external_id":{"arxiv":["1701.04385"]},"abstract":[{"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.","lang":"eng"}],"citation":{"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>","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>.","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>.","short":"B. Lin, M. Ulirsch, ArXiv:1701.04385 (2017).","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>.","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>","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} }"},"publication":"arXiv:1701.04385","doi":"10.1007/978-1-4939-7486-3_16","user_id":"82981","language":[{"iso":"eng"}],"_id":"66337","date_updated":"2026-07-08T08:37:58Z","author":[{"full_name":"Lin, Bo","first_name":"Bo","last_name":"Lin"},{"last_name":"Ulirsch","first_name":"Martin","full_name":"Ulirsch, Martin","id":"114697"}],"year":"2017","status":"public","title":"Towards a tropical Hodge bundle"}]