3 papers
math.DG2008
monopoles, higher rank instantons, and the monopole invariants
Raphael Zentner
A famous conjecture in gauge theory mathematics, attributed to Witten, suggests that the polynomial invariants of Donaldson are expressible in terms of the Seiberg-Witten invariant…
math.DG2008
What to expect from Seiberg-Witten monopoles for
Raphael Zentner
We study generalisations to the structure groups U(n) of the familiar (abelian) Seiberg-Witten monopole equations on a four-manifold and their moduli spaces. For one obta…
math.GT2006
A note on Logarithmic Transformations on the Hopf surface
Raphael Zentner
In this note we study logarithmic transformations in the sense of differential topology on two fibers of the Hopf surface. It is known that such transformations are susceptible to…