Natural Commuting of Vanishing Cycles and the Verdier Dual

Abstract

We prove that the shifted vanishing cycles and nearby cycles commute with Verdier dualizing up to a {\bf natural} isomorphism, even when the coefficients are not in a field.

arXiv comment6 pages

References in corpus (1)

• Symmetries and stabilization for sheaves of vanishing cycles

Cited by in corpus (3)

• Dimensional reduction in cohomological Donaldson-Thomas theory
• Vanishing cohomology and Betti bounds for complex projective hypersurfaces
• Virtual classes via vanishing cycles