58 research outputs found
Three Applications of Instanton Numbers
We use instanton numbers to: (i) stratify moduli of vector bundles, (ii)
calculate relative homology of moduli spaces and (iii) distinguish curve
singularities.Comment: To appear in Communications in Mathematical Physic
Vector bundles on a three dimensional neighborhood of a ruled surface
Let be a ruled surface inside a smooth threefold and let be a
vector bundle on a formal neighborhood of We find minimal conditions under
which the local moduli space of is finite dimensional and smooth. Moreover,
we show that is a flat limit of a flat family of vector bundles whose
general element we describe explicitly.Comment: Revised version to appear in J. Pure Appl. Algebra. A new section on
deformations was adde
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