Transcription of Introduction - UCSD Mathematics
{{id}} {{{paragraph}}}
VIRTUAL INTERSECTIONS ON THE quot SCHEME ANDVAFA-INTRILIGATOR FORMULASALINA MARIAN AND DRAGOS construct a virtual fundamental class on the quot scheme parametriz-ing quotients of a trivial bundle on a smooth projective curve. We use the virtuallocalization formula to calculate virtual intersection numbers on quot . As a conse-quence, we reprove the Vafa-Intriligator formula; our answer is valid even when theQuot scheme is badly behaved. More intersections of Vafa-Intriligator type are com-puted by the same method. Finally, we present an application to the non-vanishingof the Pontrjagin ring of the moduli space of study the intersection theory of the quot scheme Quotd(ON,r,C) of degreed,rankN rcoherent sheaf quotients ofONon a smooth complex projective curveCofgenusgvia equivariant (ON,r,C) provides a compactification of the scheme Mord(C,G(r,N)) of degreedmorphisms fromCto the GrassmannianG(r,N),and has been analyzed a lot from thispoint of view.
Quot schemes have been shown by Grothendieck [Gro], in all generality, to be ne moduli spaces for the problem of parametrizing quotients of a xed …
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document:
{{id}} {{{paragraph}}}