Tootfinder

I’m sat on a bench in Lincoln Square, Manchester, surrounded by a buzz of expectation.
The Prime Minister, Andy Burnham, is in town for his first day at Number 10 North
-- the government’s new northern base inside Heron House, immediately in front of me.
Police officers are stationed around the square, keeping watch on all the entrances.
In the middle of it all, Abraham Lincoln stands looking out across the square with the weary air of somebody who has seen it all

Andy Marshall's Genius Loci Digest: 7 Aug 2026
I feel as though I’m in a kind of dystopian bubble of my own making - an aberration in the continuum, as though I’ve slipped into the square from another century, carrying some obsolete way of looking at the world.

I’m sat on a bench in Lincoln Square, Manchester, surrounded by a buzz of expectation.
The Prime Minister, Andy Burnham, is in town for his first day at Number 10 North
-- the government’s new northern base inside Heron House, immediately in front of me.
Police officers are stationed around the square, keeping watch on all the entrances.
In the middle of it all, Abraham Lincoln stands looking out across the square with the weary air of somebody who has seen it all

Andy Marshall's Genius Loci Digest: 7 Aug 2026
I feel as though I’m in a kind of dystopian bubble of my own making - an aberration in the continuum, as though I’ve slipped into the square from another century, carrying some obsolete way of looking at the world.

Large mass limits of $\mathrm{G}_2$ and Calabi--Yau monopoles: calibrated concentration, Higgs zeros, and abelianization
Daniel Fadel, Goncalo Oliveira
https://arxiv.org/abs/2608.05128 https://arxiv.org/pdf/2608.05128 https://arxiv.org/html/2608.05128
arXiv:2608.05128v1 Announce Type: new
Abstract: We study large mass monopoles with structure group $\mathrm{SU}(2)$ or $\mathrm{SO}(3)$ on asymptotically conical $\mathrm{G}_2$-manifolds and Calabi--Yau $3$-folds, with fixed asymptotic class. After placing the AC asymptotic theory, the variational compactness theory of Parise--Pigati--Stern, and Li's singular abelian compactness theory in a common $\Theta$-monopole framework, we prove that the mass-renormalized Yang--Mills--Higgs and intermediate energy measures converge to $8\pi\|T\|$ for a compactly supported calibrated integral codimension-three cycle $T$. This identifies the two limiting currents and shows that the variational calibration inequalities are saturated. Using this common limit as the starting point for a finer analysis, if $\mathcal S$ is the calibrated support, $\mathcal Z$ the Kuratowski upper limit of the Higgs zero sets, and $\mathcal C$ the limiting nonabelian locus, defined as the Kuratowski upper limit of Li's curvature concentration loci, then $\mathcal S\subset\mathcal Z\subset\mathcal C=\mathcal S\cup\mathcal O$, where $\mathcal O$ is precisely the obstruction to effective codimension-three monotonicity. For the cohomogeneity-one large mass families on the Bryant--Salamon $\mathrm{G}_2$-manifolds and the Stenzel Calabi--Yau $3$-fold, we prove that $\mathcal O=\varnothing$. On $X\setminus\mathcal C$ the sequence abelianizes; corrected longitudinal curvatures converge smoothly, and the remaining compactness alternatives are governed by $L^2$-harmonic $2$-forms.
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Replaced article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/2]:
- The structure of totally disconnected Host--Kra--Ziegler factors, and the inverse theorem for the...
Asgar Jamneshan, Or Shalom, Terence Tao
https://arxiv.org/abs/2303.04860 https://mastoxiv.page/@arXiv_mathDS_bot/109997807513962212
- Polynomial entropy of induced homeomorphisms on $C_k(\mathbb{S}^1)$ and $C_k([0,1])$
Ma\v{s}a {\DJ}ori\'c, Jelena Kati\'c
https://arxiv.org/abs/2509.06037 https://mastoxiv.page/@arXiv_mathDS_bot/115173666484478030
- On the geometric quantization of $\theta$-almost twisted Poisson manifold
Nasser Saipele Nansidi, Bertuel Tangue Ndawa, Joseph Dongho
https://arxiv.org/abs/2509.21168 https://mastoxiv.page/@arXiv_mathDS_bot/115269630154890083
- On the generating series of the degree sequence
Quang-Khai Nguyen
https://arxiv.org/abs/2510.06142 https://mastoxiv.page/@arXiv_mathDS_bot/115337828753858865
- Resolvent-Based Singular-Value Diagnostics for Data-Driven Koopman Finite Sections
Yuanchao Xu, Itsushi Sakata, Isao Ishikawa
https://arxiv.org/abs/2512.24953 https://mastoxiv.page/@arXiv_mathDS_bot/115819316279700435
- Refracting Filippov systems: sliding dynamics without sliding regions
D. J. W. Simpson
https://arxiv.org/abs/2603.10333 https://mastoxiv.page/@arXiv_mathDS_bot/116215253094993668
- Complete realization of multifractal entropy spectra and pressure functions
Xiaobo Hou, Wanshan Lin, Xueting Tian
https://arxiv.org/abs/2605.20617 https://mastoxiv.page/@arXiv_mathDS_bot/116611418906721246
- Structural Causal Discovery and Predictive Sufficiency in High-Dimensional Dynamical Systems
Abd AlRahman R. AlMomani, Curtis N. James, Christopher C. Hennon, Ronny Schroeder
https://arxiv.org/abs/2606.00710 https://mastoxiv.page/@arXiv_mathDS_bot/116679365046680815
- Shadowing in Dynamical Systems: Zero-dimensional Extensions and Inverse Limits
Dekui Peng
https://arxiv.org/abs/2606.14435 https://mastoxiv.page/@arXiv_mathDS_bot/116752985726507271
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Zhengyu Yin
https://arxiv.org/abs/2607.21018 https://mastoxiv.page/@arXiv_mathDS_bot/116973856140760258
- Hausdorff dimension of non-uniquely ergodic directions in eigenform loci
Yuming Wei, Pengyu Yang
https://arxiv.org/abs/2607.24181 https://mastoxiv.page/@arXiv_mathDS_bot/116996562370083221
- Sharp Cyclicity of Neutral Entry--Exit Cycles with Quadratic Grazing
Haibo Lu
https://arxiv.org/abs/2607.27464 https://mastoxiv.page/@arXiv_mathDS_bot/117013446092691734
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