Applying Algebraic Topology, Geometry to Nonabelian Gauge Theory

[zahero_2007]

I 've been reading about Homotopy , homology and abstract lie groups and diff.forms and I would like to see those beautiful ideas applied on a Nonabelian Gauge Theory . Any recommendations for a textbook that apply these ideas to gauge theory ? Text books on particle Physics and QFT do not mention that . To be specific I want a text that use Algebraic Topology , Geometry and Differential Geometry to study deeply nonabelian gauge theories

 

[sheaf]

I quite like https://www.amazon.com/dp/0852740956/?tag=pfamazon01-20.

 

[zahero_2007]

Thanks but what abt algebraic geometry ? Is it used in theoretical physics research?

 

[sheaf]

Thanks but what abt algebraic geometry ? Is it used in theoretical physics research?

Yes, for example it's fundamental to twistor theory and played a large part in the AHDM construction for instantons.