Počet záznamů: 1
Novikov fundamental group
- 1.0536554 - MÚ 2021 RIV US eng J - Článek v odborném periodiku
Barraud, J.F. - Gadbled, A. - Golovko, R. - Le, Hong-Van
Novikov fundamental group.
International Mathematics Research Notices. Roč. 2020, č. 24 (2020), s. 10447-10494. ISSN 1073-7928. E-ISSN 1687-0247
Grant CEP: GA ČR(CZ) GC18-01953J
Institucionální podpora: RVO:67985840
Klíčová slova: Novikov fundamental group * cohomology
Obor OECD: Pure mathematics
Impakt faktor: 1.600, rok: 2020
Způsob publikování: Omezený přístup
https://doi.org/10.1093/imrn/rnz032
Given a degree 1 cohomology class u on a closed manifold M, we define a Novikov fundamental group associated with u, generalizing the usual undamental group in the same spirit as Novikov homology generalizes Morse homology to the case of non exact 1-forms. As an application, lower bounds for the minimal number of indexes 1 and 2 critical points of Morse closed 1-forms are obtained, that are different in nature from those derived from the Novikov homology.
Trvalý link: http://hdl.handle.net/11104/0314323
Počet záznamů: 1