M. Upmeier

activity

20112025

most citedOn orientations for gauge-theoretic moduli spaces

24 citations · 46 across the 15 of their papers we have counts for

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Showing 2018 · math.DGShow all

2 papers · 2 filters

math.DG2018★ 9 cited

Canonical orientations for moduli spaces of $G_{2}$ -instantons with gauge group SU(m) or U(m)

Dominic Joyce, Markus Upmeier

Suppose $(X, g)$ is a compact, spin Riemannian 7-manifold, with Dirac operator $D$ . Let $G$ be SU $(m)$ or U $(m)$ , and $E \to X$ be a rank $m$ complex bundle with $G$ -structure. Writ…

math.DG2018★ 24 cited

On orientations for gauge-theoretic moduli spaces

Dominic Joyce, Yuuji Tanaka, Markus Upmeier

Let $X$ be a compact manifold, $D$ a real elliptic operator on $X$ , $G$ a Lie group, $P \to X$ a principal $G$ -bundle, and $B_{P}$ the infinite-dimensional moduli space of…

Canonical orientations for moduli spaces of G2​-instantons with gauge group SU(m) or U(m)

On orientations for gauge-theoretic moduli spaces

Canonical orientations for moduli spaces of $G_{2}$ -instantons with gauge group SU(m) or U(m)