Counting zeros of closed 1-forms

Simple item page
dc.creatorFarber, Michael
dc.date1999-03-23
dc.date.accessioned2026-07-07T05:28:26Z
dc.date.available2026-07-07T05:28:26Z
dc.descriptionThe paper suggests new topological lower bounds for the number of zeros of closed 1-forms within a given cohomology class. The main new technical tool is the deformation complex, which allows to pass to a singular limit and reduce the original problem with a closed 1-form to a traditional problem with a Morse function. We show by examples that the suggested approach may provide stronger estimates than the Novikov inequalities. The technique of the paper also applies to study topology of the set of zeros of closed 1-forms under Bott non-degeneracy assumptions.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/9903133
dc.identifierhttp://arxiv.org/abs/math/9903133
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78256
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.titleCounting zeros of closed 1-forms
dc.typetext

Files

Collections

arXiv