Solid State Texts on Topological Effects/Phases in Materials

AI Thread Summary
The discussion centers on finding resources for understanding topological effects and phases in solids, specifically focusing on homotopy classes and the application of algebraic topology. The user mentions Altland and Simons's textbook on quantum field theory in condensed matter, noting its relevant chapter on topology. They express concerns about David Tong's lecture notes on the fractional quantum Hall effect, which lack in-depth discussion of algebraic topology. Recommendations for S. Girvin's textbook on modern condensed matter theory are noted, though access to its contents has been limited. The user also shares a link to a promising book and an online course that offers extensive information on the topic. Overall, the search is for comprehensive texts that thoroughly cover the intersection of algebraic topology and condensed matter physics.
doggydan42
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I am looking to learn about these topological effects or phases in solids. More specifically, I'm trying to find a set of lecture notes or a textbook or some other text that do not shy away from discussing homotopy classes and the application algebraic topology to describe these materials.

I know Altland and Simons's textbook on QFT in condensed matter theory has a chapter on topology. David Tong's lectures notes on the fractional quantum hall effect has been recommended to me, but Tong seems to try to avoid discussing the relevant algebraic topology. I have also been recommended "S. Girvin textbook on modern CMT", but I could only get the table of contents, which wasn't helpful to me.

Any recommendations for other texts or comments on the texts I mentioned would be appreciated!
 
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I found this, looks good! An online course with tons of information https://topocondmat.org/
 
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