Towards a tropical Hodge bundle Lin, Bo Ulirsch, Martin 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. 2017 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_6501 https://ris.uni-paderborn.de/record/66337 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> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/978-1-4939-7486-3_16 info:eu-repo/semantics/altIdentifier/arxiv/1701.04385 info:eu-repo/semantics/closedAccess