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math-ph2024
Combinatorics and large genus asymptotics of the Brézin--Gross--Witten numbers
Jindong Guo, Paul Norbury, Di Yang +1
In this paper, we study combinatorial and asymptotic properties of some interesting rational numbers called the Brézin--Gross--Witten (BGW) numbers, which can be represented as the…
math.NT2024
The Habiro ring of a number field
Stavros Garoufalidis, Peter Scholze, Campbell Wheeler +1
We introduce the Habiro ring of a number field and modules over it graded by . Elements of these modules are collections of power series at each compl…
math.AT2024★ 1 cited
On the Euler characteristic of the commutative graph complex and the top weight cohomology of
Michael Borinsky, Don Zagier
We prove an asymptotic formula for the Euler characteristic of Kontsevich's commutative graph complex. This formula implies that the total amount of commutative graph homology grow…