Raphael Zentner

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math.DG2008

$P U (N)$ 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 $U (n)$ Seiberg-Witten monopoles for $n > 1$

Raphael Zentner

We study generalisations to the structure groups U(n) of the familiar (abelian) Seiberg-Witten monopole equations on a four-manifold $X$ and their moduli spaces. For $n = 1$ one obta…

PU(N) monopoles, higher rank instantons, and the monopole invariants

What to expect from U(n) Seiberg-Witten monopoles for n>1

$P U (N)$ monopoles, higher rank instantons, and the monopole invariants

What to expect from $U (n)$ Seiberg-Witten monopoles for $n > 1$