Books

Here is the list of books from the reading list at the start of the course. Links to PDFs and suchlike will be added in due course. Hopefully as the semester progresses, the field will narrow down.

Tu, Loring, Differential Geometry : Connections, Curvature, and Characteristic Classes. 1st ed. 2017
Taubes, Clifford, Differential geometry : bundles, connections, metrics and curvature. 2011
Rudolph, Gerd, Schmidt, Matthias., Differential geometry and mathematical physics. Part I, Manifolds, Lie groups and Hamiltonian systems. 2013
Rudolph, Gerd, Schmidt, Matthias.Differential Geometry and Mathematical Physics : Part II. Fibre Bundles, Topology and Gauge Fields. 1st ed. 2017
Frankel, Theodore, The geometry of physics : an introduction, 3rd edition. 2012
Nakahara, Mikio, Geometry, topology, and physics, Second edition. 2003
Nash, Charles, Sen, Siddhartha, Topology and geometry for physicists. 1987
Hamilton, Mark J.D. Mathematical Gauge Theory : With Applications to the Standard Model of Particle Physics, 1st ed. 2017
Naber, Gregory L., Topology, geometry and Gauge fields: foundations, Second edition. 2011
Naber, Gregory L., Topology, geometry and gauge fields: interactions, Second edition. 2011
Sontz, S. B., Principal bundles : the classical case. 2015
Husemöller, Dale, Fibre Bundles, 3rd ed. 1994