More about vanishing cycles and mutation

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dc.creatorSeidel, Paul
dc.date2000-10-03
dc.date.accessioned2026-07-07T04:37:49Z
dc.date.available2026-07-07T04:37:49Z
dc.descriptionThe paper continues the discussion of symplectic aspects of Picard-Lefschetz theory begun in "Vanishing cycles and mutation" (this archive). There we explained how to associate to a suitable fibration over a two-dimensional disc a triangulated category, the "derived directed Fukaya category" which describes the structure of the vanishing cycles. The present second part serves two purposes. Firstly, it contains various kinds of algebro-geometric examples, including the "mirror manifold" of the projective plane. Secondly there is a (largely conjectural) discussion of more advanced topics, such as (i) Hochschild cohomology, (ii) relations between Picard-Lefschetz theory and Morse theory, (iii) a proposed "dimensional reduction" algorithm for doing certain Floer cohomology computations.
dc.description33 pages, LaTeX2e, 9 eps figures
dc.identifierhttps://arxiv.org/abs/math/0010032
dc.identifierhttp://arxiv.org/abs/math/0010032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60046
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.titleMore about vanishing cycles and mutation
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