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arXiv · 2603.26021

Tropical singular intersection homology

Junta Kamiya
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Abstract

We introduce tropical singular intersection homologies (non-GM and GM) with the tropical coefficients on rational polyhedral spaces using their filtrations. We investigate their fundamental properties. In the non-GM case, we give a Poincar\'e duality and two bilinear pairings analogous to the cup and cap products under some assumptions. We compute the homologies in some cases.

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Junta Kamiya. 2026-03-27. Tropical singular intersection homology. https://arxiv.org/abs/2603.26021

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