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arXiv · 1708.07332

Notes on variation of Lefschetz star operator and $T$-Hodge theory

Xu Wang
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Abstract

These notes were written to serve as an easy reference for \cite{Wang-AF}. All the results in this presentation are well-known (or quasi-well-known) theorems in Hodge theory. Our main purpose was to give a unified approach based on a variation formula of the Lefschetz star operator, following \cite{Wang-k}. It fits quite well with Timorin's $T$-Hodge theory, i.e. the Hodge theory on the space of differential forms divided by $T$ (i.e. forms like $T\wedge u$), where $T$ is a finite wedge product of K\"ahler forms.

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Xu Wang. 2017-08-24. Notes on variation of Lefschetz star operator and $T$-Hodge theory. https://arxiv.org/abs/1708.07332

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