Mathematics – Differential Geometry
Scientific paper
2001-06-26
Mathematics
Differential Geometry
Lecture notes for talk by the first author at the International Georgia Topology Conference 2001 (Athens, Georgia) and the Mat
Scientific paper
This article is based on a lecture by the first author at the International Georgia Topology Conference 2001 (Athens, Georgia) and the Mathematische Arbeitstagung 2001 (Bonn, Germany). We sketch a proof of Witten's formula relating the Donaldson and Seiberg-Witten series modulo powers of degree c+2, with c = -{1/4}(7 chi + 11 sigma), for four-manifolds obeying some mild conditions, where chi and sigma are their Euler characteristic and signature. We use the moduli space of SO(3) monopoles as a cobordism between a link of the Donaldson moduli space of anti-self-dual SO(3) connections and links of the moduli spaces of Seiberg-Witten monopoles. Gluing techniques allow us to compute contributions from Seiberg-Witten moduli spaces lying in the first (or `one-bubble') level of the Uhlenbeck compactification of the moduli space of SO(3) monopoles.
Feehan Paul M. N.
Leness Thomas G.
No associations
LandOfFree
On Donaldson and Seiberg-Witten invariants does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On Donaldson and Seiberg-Witten invariants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Donaldson and Seiberg-Witten invariants will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-642123