4 papers · 1 filter
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…
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…
Abelian arithmetic Chern-Simons theory and arithmetic linking numbers
Hee-Joong Chung, Dohyeong Kim, Minhyong Kim +3
Following the method of Seifert surfaces in knot theory, we define arithmetic linking numbers and height pairings of ideals using arithmetic duality theorems, and compute them in t…
P-adic family of half-integral weight modular forms via overconvergent Shintani lifting
Jeehoon Park
The goal of this paper is to construct the p-adic analytic family of overconvergent half-integral weight modular forms using Hecke-equivariant overconvergent Shintani lifting. The…