Three Applications of Instanton Numbers
نویسندگان
چکیده
منابع مشابه
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.
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The two applications are: 1. sometimes instanton numbers stratify moduli of bundles better than Chern numbers. 2. sometimes instanton numbers distinguish singularities better than the classical numerical invariants.
متن کامل2 Two applications of instanton numbers
The two applications are: 1. sometimes instanton numbers stratify moduli of bundles better than Chern numbers. 2. sometimes instanton numbers distinguish singularities better than the classical numerical invariants.
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We start with any polynomial p(x, y) defining a plane curve with singularity at 0 ∈ C. Let π: C̃ → C denote the blow-up of C at the origin and let j be a positive integer. The data (j, p) determines a holomorphic bundle E(j, p) on C̃ with splitting type j and extension class p. We then algorithmically compute numerical invariants of the bundle E(j, p) and use them as invariants of the curve. A co...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2006
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-006-0139-5