Solid State Texts on Topological Effects/Phases in Materials

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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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Many years ago, as the internet was coming of age, I burned over 500 pounds of technical manuals. I realized I can look things up on the internet faster than I can find something in a technical manual. And just about anything I might need could be found online. But letting go of my several shelves worth of college text and other science books is another matter. I can't bring myself to get rid of them but there is very little if anything I can't find online now. Books are heavy and a pain...

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