Outputs (3)

Novikov-Betti numbers and the fundamental group (2006)
Journal Article
Farber, M., & Schuetz, D. (2006). Novikov-Betti numbers and the fundamental group. Russian Mathematical Surveys, 61(6), 1173-1175. https://doi.org/10.1070/rm2006v061n06abeh004378

Closed 1-forms with at most one zero (2006)
Journal Article
Farber, M., & Schutz, D. (2006). Closed 1-forms with at most one zero. Topology (Oxford), 45(3), 465-473. https://doi.org/10.1016/j.top.2005.06.006

We prove that in any nonzero cohomology class ξH1(M;R) there always exists a closed 1-form having at most one zero.

Finite domination, Novikov homology and nonsingular closed 1-forms (2006)
Journal Article
Schuetz, D. (2006). Finite domination, Novikov homology and nonsingular closed 1-forms. Mathematische Zeitschrift, 252(3), 623-654. https://doi.org/10.1007/s00209-005-0868-8