Bounding volume by systoles of 3-manifolds

• Autores: Mikhail G. Katz, Yuli B. Rudyak
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 78, Nº 2, 2008, págs. 407-417
• Idioma: inglés
• DOI: 10.1112/jlms/jdm105
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove a new systolic volume lower bound for non-orientable n-manifolds, involving the stable 1-systole as well as the codimension-1 systole with coefficients in 2. As an application, we prove that Lusternik�Schnirelmann category and systolic category agree for non-orientable closed manifolds of dimension 3, extending our earlier result in the orientable case. Finally, we prove the homotopy invariance of systolic category