Tootfinder

French Mural Depicts Lady Liberty Covering Her Face In Shame | Crooks and Liars
https://crooksandliars.com/2025/07/new-mural-france-depicts-lady-liberty

@… Ich hab eines deiner Bilder gesichtet in https://hackaday.com/2025/07/01/one-laptop-manufacturer-had-t…

The 2024 #Labour Budget allocated just £11.3 billion to climate change mitigation and adaptation—covering everything from carbon capture* and
nuclear energy* to tree planting and EV charging*—compared to
at least £58 billion for military spending.
NB, those with a * are fake climate mitigation.
#warmongering

Structural Properties and Adjacency Spectrum of Coprime Graph of Integers
Subarsha Banerjee
https://arxiv.org/abs/2506.10583 https://…

Structural Properties and Adjacency Spectrum of Coprime Graph of Integers
Let $TCG_n$ denote the coprime graph having vertex set $\{1,2,\ldots,n\}$ with any two vertices $i,j$ being adjacent if and only if $\gcd(i,j)=1$. In this article, we first study some structural properties of $TCG_n$. We study the vertex connectivity and crossing number of the coprime graph of integers. We discover a lower constraint on the multiplicity of $-1$, which appears as an eigenvalue in the adjacency matrix of $TCG_n$. We demonstrate our findings with a variety of cases. We also show t…

Stratified Hyperbolicity of the moduli stack of stable minimal models, I
Junchao Shentu
https://arxiv.org/abs/2506.17537 https://arxi…

Stratified Hyperbolicity of the moduli stack of stable minimal models, I
In this paper, we introduce a birationally admissible stratification on the Deligne-Mumford stack of stable minimal models (e.g., the KSBA moduli stack), such that the universal family over each stratum admits a simple normal crossing log birational model. We further demonstrate that each stratum is hyperbolic in the sense that every schematic generically finite covering of any closed substack is of logarithmic general type. This provides a partial answer to C.Birkar's question regarding the gl…

Floer homotopy theory for monotone Lagrangians
Ciprian Mircea Bonciocat
https://arxiv.org/abs/2506.17431 https://arxiv.org/pdf/2506.1…

Floer homotopy theory for monotone Lagrangians
We circumvent one of the roadblocks in associating Floer homotopy types to monotone Lagrangians, namely the curvature phenomena occurring in high dimensions. Given $N \ge 3$ and $R$ a connective $\mathbb E_1$-ring spectrum, there is a notion of an $N$-truncated, $R$-oriented flow category, to which we associate a module prospectrum over the Postnikov truncation $τ_{\le N - 3}R$. This endows ordinary Floer cohomology with an action of the Steenrod algebra over $τ_{\le N-3}R$, and also induces …