S ep 2 00 6 VIRTUAL INTERSECTIONS ON THE QUOT SCHEME AND VAFA - INTRILIGATOR FORMULAS
نویسنده
چکیده
We construct a virtual fundamental class on the Quot scheme parametrizing quotients of a trivial bundle on a smooth projective curve. We use the virtual localization formula to calculate virtual intersection numbers on Quot. As a consequence, we reprove the Vafa-Intriligator formula; our answer is valid even when the Quot scheme is badly behaved. More intersections of Vafa-Intriligator type are computed by the same method. Finally, we present an application to the non-vanishing of the Pontrjagin ring of the moduli space of bundles.
منابع مشابه
m at h . A G ] 3 1 M ay 2 00 5 VIRTUAL INTERSECTIONS ON THE QUOT - SCHEME AND THEVAFA - INTRILIGATOR FORMULA
We construct a virtual fundamental class on the Quot scheme parametrizing quotients of a trivial bundle on a curve. We use the virtual localization formula to calculate virtual intersection numbers on Quot. As a consequence, we reprove the Vafa-Intriligator formula; our answer is valid even when the Quot scheme is badly behaved. More intersections are computed by the same method. Finally, we pr...
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تاریخ انتشار 2008