2 papers
math.GT2025
A note on the tetrahedral index and the Hahn-Exton q-Bessel function
Daniele Celoria
The purpose of this short note is twofold: First to elucidate some connections between the ``building block'' of Dimofte--Gaiotto--Gukov's D index, known as the tetrahedral inde…
math.GT2025
The 3D index and Dehn filling
Daniele Celoria, Craig D. Hodgson, J. Hyam Rubinstein
We provide a rigorous proof of the Gang-Yonekura formula describing the transformation of the 3D index under Dehn filling a cusp in an orientable 3-manifold. The 3D index, original…