A bstract We describe the infinitesimal moduli space of pairs (Y, V) where Y is a manifold with G 2 holonomy, and V is a vector bundle on Y with an instanton connection. These …
CC Cárdenas - arXiv preprint arXiv:2312.12762, 2023 - arxiv.org
We establish the deformation theory of Lie groupoid morphisms, describe the corresponding deformation cohomology of morphisms, and show the properties of the cohomology. We …
PB Gilkey - Journal of Geometry and Physics, 2016 - Elsevier
We examine the moduli spaces of Type A connections on oriented and unoriented surfaces both with and without torsion in relation to the signature of the associated symmetric Ricci …
P Gilkey, JH Park - arXiv preprint arXiv:1607.01563, 2016 - arxiv.org
We examine the moduli space of oriented locally homogeneous manifolds of Type A which have non-degenerate symmetric Ricci tensor both in the setting of manifolds with torsion and …
Solitons and instantons are crucial in modern field theory, which includes high energy physics and string theory, but also condensed matter physics and optics. This thesis is …