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<p>We propose a natural extension of the Novikov numbers for the basic cohomology class of a closed basic 1-form on a proper Lie groupoid of finitely generated type. As an application, we prove corresponding Novikov inequalities for compact orbifolds.</p>

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Novikov type inequalities for orbifolds

  • 期刊论文

  • 发表日期：

    2025年6月2日

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  • Fabricio Valencia

摘要

We propose a natural extension of the Novikov numbers for the basic cohomology class of a closed basic 1-form on a proper Lie groupoid of finitely generated type. As an application, we prove corresponding Novikov inequalities for compact orbifolds.