A vanishing theorem in twisted de Rham cohomology

2010/12/09 by Ana Cristina Ferreira, Ferreira, Ana Cristina
Mathematics · #Differential Geometry #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1012.2087

7 pages

arxiv created 2011/02/02 · arxiv updated 2011/02/03

Abstract

We prove a vanishing theorem for the twisted de Rham cohomology of a compact manifold.

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• Vanishing theorems for the kernel of a Dirac operator
• The Essence of de Rham Cohomology
• On a spectral sequence for twisted cohomologies
• On the blow-up formula of twisted de Rham cohomology
• Vanishing theorems on covering manifolds