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Closed forms transverse to singular foliations

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Abstract

We describe a homological criterion for the existence of a closed form transverse to a foliation which is allowed to have certain tame singularities, generalizing results in the nonsingular case by Sullivan. As illustrations of the method, we derive results about the existence of singular symplectic forms and about the characterization of intrinsic harmonicity for forms.

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  1. Institut für Mathematik, Humboldt–Universität zu Berlin, Unter den Linden 6, 10099, Berlin, Germany

    Janko Latschev

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  1. Janko Latschev
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Correspondence to Janko Latschev.

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Latschev, J. Closed forms transverse to singular foliations. manuscripta math. 121, 293–315 (2006). https://doi.org/10.1007/s00229-006-0036-4

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  • DOI: https://doi.org/10.1007/s00229-006-0036-4

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