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arXiv · 2510.17288

Strong formality of toric and homogeneous compact K\"ahler manifolds

Giovanni Placini·Jonas Stelzig·Leopold Zoller
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Abstract

All compact K\"ahler, or even $\partial\bar\partial$-manifolds, are rationally formal. Not all of them are strongly formal. Yet some of them are: For complete smooth complex toric varieties and homogeneous compact K\"ahler manifolds we show the stronger property that they are both rationally and strongly formal in a compatible way.

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Giovanni Placini, Jonas Stelzig, Leopold Zoller. 2025-10-20. Strong formality of toric and homogeneous compact K\"ahler manifolds. https://arxiv.org/abs/2510.17288

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