On a twisted de Rham complex, II

Abstract

We prove an algebraic formula, conjectured by M. Kontsevich, for computing the monodromy of the vanishing cycles of a regular function on a smooth complex algebraic variety.

v2: 23 pages; some inaccuracies and a gap corrected thanks to M. Saito; new Section 2. v3: 28 pages; other errors corrected

Cited by in corpus (7)

• E_1-degeneration of the irregular Hodge filtration (with an appendix by Morihiko Saito)
• Quantisation of derived Lagrangians
• Deformation quantisation for (-1)-shifted symplectic structures and vanishing cycles
• Categorification of Lagrangian intersections on complex symplectic manifolds using perverse sheaves of vanishing cycles
• The moduli space of stable coherent sheaves via non-archimedean geometry
• Kontsevich's conjecture on an algebraic formula for vanishing cycles of local systems
• Exponentially twisted cyclic homology