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math.GT2021★ 2 cited
Witten-Reshetikhin-Turaev Invariants, Homological Blocks, and Quantum Modular Forms for Unimodular Plumbing H-Graphs
Akihito Mori, Yuya Murakami
Gukov-Pei-Putrov-Vafa constructed -series invariants called homological blocks in a physical way in order to categorify Witten-Reshetikhin-Turaev (WRT) invariants and conjecture…
math.NT2021
Extended-cycle integrals of modular functions for badly approximable numbers
Yuya Murakami
Cycle integrals of modular functions are expected to play a role in real quadratic analogue of singular moduli. In this paper, we extend the definition of cycle integrals of modula…