Tootfinder

Holonomy of the Obata connection on 2-step hypercomplex nilmanifolds
Adri\'an Andrada, Mar\'ia Laura Barberis, Beatrice Brienza
https://arxiv.org/abs/2508.07889 https://…

Holonomy of the Obata connection on 2-step hypercomplex nilmanifolds
We study the holonomy of the Obata connection on 2-step hypercomplex nilmanifolds. By explicitly computing the curvature tensor, we determine the conditions under which the Obata connection is flat, showing that this depends on the nilpotency step of each complex structure. In particular, we show that the holonomy algebra of the Obata connection is always an abelian subalgebra of $\mathfrak{sl}(n, \mathbb{H})$: to establish this, we prove the $\mathbb{H}$-solvable conjecture for 2-step hypercom…

The DBL Survey II: towards a mass-period distribution of double white dwarf binaries
James Munday, Ingrid Pelisoli, Pier-Emmanuel Tremblay, David Jones, Gijs Nelemans, Mukremin Kilic, Tim Cunningham, Silvia Toonen, Alejandro Santos-Garc\'ia, Harry Dawson, Viktoria Pinter, Benjamin Godson, Llanos Martinez, Jaya Chand, Ross Dobson, Kiran Jhass, Shravya Shenoy

The DBL Survey II: towards a mass-period distribution of double white dwarf binaries
Double white dwarf binaries are an important remnant of binary evolution as they are possible type Ia supernova progenitors and strong sources of gravitational waves in the low-frequency regime. The double-lined double white dwarf (DBL) survey searches for compact double white dwarfs where both stars are spectrally disentangleable. Candidates are identified by being overluminous compared to the cooling sequence of a typical mass, single white dwarf. In this second DBL survey instalment, we pres…

FAIR sharing of Chromatin Tracing datasets using the newly developed 4DN FISH Omics Format
Rahi Navelkar, Andrea Cosolo, Bogdan Bintu, Yubao Cheng, Vincent Gardeux, Silvia Gutnik, Taihei Fujimori, Antonina Hafner, Atishay Jay, Bojing Blair Jia, Adam Paul Jussila, Gerard Llimos, Antonios Lioutas, Nuno MC Martins, William J Moore, Yodai Takei, Frances Wong, Kaifu Yang, Huaiying Zhang, Quan Zhu, Magda Bienko, Lacramioara Bintu, Long Cai, Bart Deplancke, Marcelo Nollmann, Susan E Mango, Bi…

FAIR sharing of Chromatin Tracing datasets using the newly developed 4DN FISH Omics Format
A key output of the NIH Common Fund 4D Nucleome (4DN) project is the open publication of datasets on the structure of the human cell nucleus and genome. In recent years, multiplexed Fluorescence In Situ Hybridization (FISH) and FISH-omics methods have rapidly expanded, enabling quantification of chromatin organization in single cells, sometimes alongside RNA and protein measurements. These approaches have deepened our understanding of how 3D chromosome architecture relates to transcriptional ac…