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math.NT2019
The Milnor -theory and the Shintani cocycle
Sung Hyun Lim, Jeehoon Park
The goal of this article is to complete the unfinished construction (due to Glenn Stevens in an old preprint) of a certain Milnor -group valued group cocycle for $GL_n(\mathbb{Q…
math.NT2019
Batalin-Vilkovisky formalism in the -adic Dwork theory
Dohyeong Kim, Jeehoon Park, Junyeong Park
The goal of this article is to develop BV (Batalin-Vilkovisky) formalism in the -adic Dwork theory. Based on this formalism, we explicitly construct a -adic dGBV algebra (dif…
math.NT2019
Arithmetic Chern-Simons theory with real places
Jungin Lee, Jeehoon Park
The goal of this paper is two-fold: we generalize the arithmetic Chern-Simons theory over totally imaginary number fields studied in [Kim15, CKK+16] to arbitrary number fields (wit…