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I want to study String theory, what mathematics is required for it? please recommend books with author names if possible.
The Shape of Inner Space is not only a fun to read biography of one of the co-fathers of the Calabi-Yau spaces, the mathematical discussion outlines also what needed for studying string theory, see for example here. Algebraic geomtry and algebraic topology are important subfields for example ...
There is a great book by Nakahara titled "Geometry, Topology and Physics". I think this book is enough to understand the major part of any string theory textbook for graduate students. Some string theory books contain the necessary math --- for example look at Ch. 12 and 15 of Green, Schwarz and Witten.
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