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Compactifying the Parameter Space for the Quantum Multipl...
[Submitted on 17 Oct 2025 (v1), last revised 5 Aug 2026 (this ve · 2025-10-17 · via math updates on arXiv.org

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Abstract:In this paper, we will be studying the parameter space for the quantum multiplication for hypertoric varieties. The operation of quantum multiplication for hypertoric varieties has an explicit formulation which is given by McBreen and Shenfeld. In particular, this multiplication depends on a parameter which lives in the complement of a toric arrangement. Following a paper of deConcini and Gaiffi, I will define a compactification of this parameter space and show how the quantum multiplication can be extended to this compactification.

Submission history

From: Jeremy Peters [view email]
[v1] Fri, 17 Oct 2025 14:30:30 UTC (642 KB)
[v2] Fri, 6 Mar 2026 15:57:34 UTC (638 KB)
[v3] Wed, 5 Aug 2026 23:22:05 UTC (651 KB)