The 1-2-3 of Modular Forms

By Jan H. Bruinier, Gerard van der Geer, G. Harder, Don Zagier, Kristian Ranestad. 2008

567 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/25d23684cb58d20cf9fb558d72faf1f271d59c20

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In Geometry and Topology

Citations in the corpus

A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS (2017, background): “Notations and background on the class of functions M We recall some notations and background from [6, 36].”
Siegel modular forms of degree three and the cohomology of local systems (2011, methodology): “The (conjectural) element S[n(λ)] of the Grothendieck group of motives should be associated to the space Sn(λ) in a manner similar to the case g = 1.”
The Ω Deformed B-model for Rigid N = 2 Theories (2011, background): “Hence, the ring thus obtained, called the ring of quasimodular holomorphic forms, is canonically isomorphic to the ring of almost holomorphic modular forms [62].”
Special prime Fano fourfolds of degree 10 and index 2 (2013, background): “The divisors Dd appear in the theory of modular forms under the name of Heegner divisors: in the notation of [B],”
Advances in Mathematics (2015, unknown): “…in [31] and can be viewed as the loop space analogue of the A -genus. can be expressed as a q -deformed A -genus as where If the string condition λ = 0 does not hold, one constructs the cohomology class (cf. [14] 0.12) where E 2 ( τ ) is the Eisenstein series of weight 2 (cf. Chap 2.3 in [7]).”
Neutrino masses and mixing from double covering of finite modular groups (2019, methodology): “The Dedekind eta-function η(τ) was introduced by Dedekind in 1877 and is defined over the upper half complex plane H = {τ ∈ C | Im τ > 0} by the equation [33, 34, 40],”