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arXiv · 2609.24578

Geometric quantizazion and TYCZ coefficients of HyperKähler 4-manifolds

Simone Cristofori
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Abstract

In this paper we study conditions for the existence of a geometric quantization of a complete hyperKähler four manifold with an effective tri--Hamiltonian circle action and we show that the vanishing of the third coefficient $a_3$ associated to these metrics is equivalent to flatness.

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Simone Cristofori. 2026-09-21. Geometric quantizazion and TYCZ coefficients of HyperKähler 4-manifolds. https://arxiv.org/abs/2609.24578

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