Higher depth quantum modular forms and plumbed $3$-manifolds

K. Bringmann, J. Kaszian, A. Milas, and S. Zwegers, Rank two false theta functions and Jacobi forms of negative definite matrix index

Original

1902

Earlier work this paper cites.

G. Shimura, On modular forms of half-integral weight

1973

Earlier work this paper cites.

W. Neumann, On bilinear forms represented by trees

1989

Earlier work this paper cites.

B. Berndt, R. Evans, and K. Williams, Gauss and Jacobi sums

1998

Earlier work this paper cites.

R. Lawrence and D. Zagier, Modular forms and quantum invariants of 3-manifolds

1999

Earlier work this paper cites.

S. Zwegers, Mock θ \theta -functions and real analytic modular forms

2001

Earlier work this paper cites.

K. Hikami, Quantum invariant for torus link and modular forms

2004

Cited alongside, same era.

K. Hikami, On the quantum invariant for the Brieskorn homology spheres

2005

Cited alongside, same era.

K. Hikami, On the Quantum Invariant for the spherical Seifert manifold

2006

Cited alongside, same era.

D. Zagier, Quantum modular forms

2010

Cited alongside, same era.

K. Bringmann and A. Milas, W W -Algebras, False Theta Functions and Quantum Modular Forms, I

2015

Cited alongside, same era.

K. Bringmann, K. Mahlburg, and A. Milas, Quantum modular forms and plumbing graphs of 3-manifolds

Original

Cited in the paper.

K. Bringmann, L. Rolen, and S. Zwegers, On the Fourier coefficients of negative index meromorphic Jacobi forms

2016

Later among the works it cites.

T. Creutzig, A.Milas, and S. Wood, On regularised quantum dimensions of the singlet vertex operator algebra and false theta functions

2016

Later among the works it cites.

K. Bringmann, J. Kaszian, and A. Milas, Some examples of higher depth vector-valued quantum modular forms

2017

Later among the works it cites.

S. Alexandrov, S. Banerjee, J. Manschot, and B. Pioline, Indefinite theta series and generalized error functions

2018

Later among the works it cites.

K. Bringmann, J. Kaszian, and A. Milas, Higher depth quantum modular forms, multiple Eichler integrals, and 𝔰 ​ 𝔩 3 \mathfrak{sl}_{3} false theta functions

2019

Closest in time.