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arXiv · 2603.01572

A unified calculation for Gromov norm of K\"ahler class of bounded symmetric domains

Yuan Liu
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Abstract

We provide a unified way to calculate the Gromov norm of the K\"ahler class of all (compact manifolds uniformized by) bounded symmetric domains. This was done for three classical domains by Domin and Toledo and for the general case by Clerc and \O rsted. Here, the calculation is much simplified by a combination of the ideas in Domin-Toledo and a work of Toledo, with the help of the Polydisc Theorem. The equality is achieved if and only if the triangle is ideal with three vertices on the Shilov boundary.

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Yuan Liu. 2026-03-02. A unified calculation for Gromov norm of K\"ahler class of bounded symmetric domains. https://arxiv.org/abs/2603.01572

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