Adam S. Sikora

activity

20242026

collaborators

4 papers

math.AP2026

Herz versus Fefferman: Symmetric and asymmetric Bochner--Riesz theory

Peng Chen, Dangyang He, Adam Sikora +1

We study Bochner--Riesz summability for a one-dimensional model of noncompact manifolds with ends. Each end has an effective Euclidean dimension, and these dimensions may differ fr…

math.GT2025

Kauffman bracket skein modules of small 3-manifolds

Renaud Detcherry, Efstratia Kalfagianni, Adam S. Sikora

The proof of Witten's finiteness conjecture established that the Kauffman bracket skein modules of closed $3$ -manifolds are finitely generated over $Q (A)$ . In this paper, w…

math.AP2024

Vertical Maximal Functions on Manifolds with Ends

Himani Sharma, Adam Sikora

We consider the setting of manifolds with ends which are obtained by compact perturbation (gluing) of ends of the form $R^{n_{i}} \times M_{i}$ . We investigate family…

math.QA2024

Stated SL(n)-Skein Modules and Algebras

Thang T. Q. LÃª, Adam S. Sikora

We develop a theory of stated SL(n)-skein modules, $S_{n} (M, N),$ of 3-manifolds $M$ marked with intervals $N$ in their boundaries. They consist of linear combinations of $n$ -webs wit…