most citedGWTC-4.0: An Introduction to Version 4.0 of the Gravitational-Wave Transient Catalog

50 citations

24 papers

math.AG2026

Holonomic étale sheaves are constructible

Ahmed Abbes, Takeshi Saito

Building on Beilinson's work, ``constructible sheaves are holonomic,'' we introduce the notion of holonomicity for étale sheaves, without assuming a priori constructibility. Over…

math.NT20261 cited

A Tannakian framework for prismatic -crystals

Naoki Imai, Hiroki Kato, Alex Youcis

We develop the Tannakian theory of (analytic) prismatic -crystals on a smooth formal scheme over the ring of integers of a discretely valued field with perfect re…

gr-qc2026

Narrowband searches for continuous gravitational waves from known pulsars in the first two parts of the fourth LIGO--Virgo--KAGRA observing run

The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration +1853

Rotating non-axisymmetric neutron stars (NSs) are promising sources for continuous gravitational waves (CWs). Such CWs can, if detected, inform us about the internal structure and…

math.GR2026

Sharpness of proper and cocompact actions on reductive homogeneous spaces

Fanny Kassel, Nicolas Tholozan

We prove that if is any noncompact connected real reductive linear Lie group, and any discrete subgroup of acting properly discontinuously and cocompactly on some homo…

gr-qc202634 cited

All-sky, all-frequency directional search for persistent gravitational-waves from Advanced LIGO's and Advanced Virgo's first three observing runs

The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration +1627

We present the first results from an all-sky all-frequency (ASAF) search for an anisotropic stochastic gravitational-wave background using the data from the first three observing r…

gr-qc20265 cited

GW230814: investigation of a loud gravitational-wave signal observed with a single detector

The LIGO Scientific Collaboration, The Virgo Collaboration, The Kagra Collaboration +1783

GW230814, detected by the LIGO Livingston observatory with a signal-to-noise ratio of 42.4, represents the loudest gravitational-wave signal in the GWTC-4.0 catalog. Its source is…