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math.GT2025
Topology of the space of -pleated surfaces
Sara Maloni, Giuseppe Martone, Filippo Mazzoli +1
Given a maximal geodesic lamination on a closed oriented surface of genus , the space of -pleated surfaces with pleating locus is an open subset of $\mathrm{Hom}(…
math.CV2025
Sharp Schoenberg type inequalities and the de Bruin--Sharma problem
Quanyu Tang, Teng Zhang
In this paper, we confirm two conjectures proposed by Georgiev, Gómez-Serrano, Tao, and Wagner~\cite{GGTW25} on Schoenberg type inequalities of order , thereby providing a compl…
math.FA2025
A new proof of Lee's conjecture on the Frobenius norm via the matrix Cauchy-Schwarz inequality
Teng Zhang
In 2010, Eun-Young Lee conjectured that if are two complex matrices and are the absolute values of , respectively, then \[…