71 citations · 393 across the 38 of their papers we have counts for
42 papers
Mapping Class Groups of Simply Connected Kähler Manifolds
Richard Hain
This paper has 3 principal goals: (1) to survey what is know about mapping class and Torelli groups of simply connected compact Kaehler manifolds, (2) supplement these results, and…
Hecke Actions on Loops and Periods of Iterated Shimura Integrals
Richard Hain
In this paper we show that the classical Hecke correspondences T_N, N>0, act on the free abelian groups generated by the conjugacy classes of the modular group SL_2(Z) and the conj…
Johnson Homomorphisms
Richard Hain
This paper surveys work on generalized Johnson homomorphisms and tools for studying them. The goal is to unite several related threads in the literature and to clarify existing res…
Hodge Theory of the Turaev Cobracket and the Kashiwara--Vergne Problem
Richard Hain
In this paper we show that, after completing in the -adic topology, the Turaev cobracket on the vector space freely generated by the closed geodesics on a smooth, complex algebr…
Hodge theory of the Goldman bracket
Richard Hain
In this paper we show that, after completion in the I-adic topology, the Goldman bracket on the space spanned by homotopy classes of loops on a smooth, complex algebraic curve is a…
Algebraic de Rham theory for weakly holomorphic modular forms of level one
Francis Brown, Richard Hain
We establish an Eichler-Shimura isomorphism for weakly modular forms of level one. We do this by relating weakly modular forms with rational Fourier coefficients to the algebraic d…