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arXiv · 2603.17252

On vector-valued multisymplectic forms

Tatyana Barron·Kai Boisvert·Noah Vale
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Abstract

We obtain a standard local presentation for a vector-valued multisymplectic form on a smooth manifold, generalizing the known proof for polysymplectic forms. We show that vector-valued multisymplectic forms on a finite-dimensional real vector space form a non-unital operad. We prove an entropy inequality for partial compositions.

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Tatyana Barron, Kai Boisvert, Noah Vale. 2026-03-18. On vector-valued multisymplectic forms. https://arxiv.org/abs/2603.17252

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