The Universal Coefficient Theorem and Quantum Field Theory

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The thesis explores a groundbreaking link between algebraic geometry, topology, number theory, and quantum field theory, aiming to construct a method for identifying new dualities in quantum physics. It introduces algebraic topology concepts to enhance understanding and inspire research on dualities like AdS/CFT. By examining the interplay of number theory and topology, it provides fresh insights into fundamental physics challenges. This work serves as a valuable resource for students and researchers interested in the connections between advanced mathematics and physical theories.