Tootfinder

🇺🇦 Auf radioeins läuft...
Superspace:
🎵 Superspace Feeling (House Version)
#NowPlaying #Superspace
https://superspacemusic.bandcamp.com/track/superspace-feeling-house-version-2
https://open.spotify.com/track/56MlBSxFS5xsgDQSVVpJwc

The 3D index and Dehn filling
Daniele Celoria, Craig D. Hodgson, J. Hyam Rubinstein
https://arxiv.org/abs/2509.09886 https://arxiv.org/pdf/2509.09886

The 3D index and Dehn filling
We provide a rigorous proof of the Gang-Yonekura formula describing the transformation of the 3D index under Dehn filling a cusp in an orientable 3-manifold. The 3D index, originally introduced by Dimofte, Gaiotto and Gukov, is a physically inspired q-series that encodes deep topological and geometric information about cusped 3-manifolds. Building on the interpretation of the 3D index as a generating function over Q-normal surfaces, we introduce a relative version of the index for ideal triangu…

Made this with Sora yesterday.
I think it has the nice, comforting feeling of a Soviet (or British?) version of the XB-36H (the bomber with the unshielded nuclear reactor) in Charlie Stross's A Colder War. You get the sense that even with a telephoto lens, the camera operator has absorbed enough sieverts that a gruesome death of radiation poisoning in the very near future is going to take place. #airart

The maximum product of sizes of cross-\(t\)-intersecting families
Jingjun Bao, Lijun Ji
https://arxiv.org/abs/2510.11724 https://arxiv.org/pdf/2510.11724…

The maximum product of sizes of cross-\(t\)-intersecting families
Two families of sets \(\mathcal{A}\) and \(\mathcal{B}\) are called \emph{cross-\(t\)-intersecting} if \(|A \cap B| \geq t\) for all \(A \in \mathcal{A}\) and \(B \in \mathcal{B}\). Determining the maximum product of sizes for such cross-\(t\)-intersecting families is an active problem in extremal set theory. In this paper, we verify the following cross-\(t\)-intersecting version of the Erdős-Ko-Rado theorem: For \(k\geq l \geq t \geq 3\) and \(\min\{m,n\} \geq (t+1)(k-t+1)\), the ma…

"Iyengar told me she isn’t worried about Musk ruining D&D.
Musk is welcome to waste his money on “trying to make everyone play the version of D&D that he thinks should exist in the world,” Iyengar said. “That’s never been how that works. Everyone will play it how they want, or they’ll play something else.”
https://

Sony unveils a cheaper, Japan-only PlayStation 5 Digital Edition for ~$350, a ~25% discount, following a similar move by Nintendo with the Switch 2 (Financial Times)
https://www.ft.com/content/f6edb22a-0b19-4073-9e28-ec29b096dde3

Sony launches cheaper Japan-only PlayStation 5 console
Region-locked version at 25% discount in move to boost domestic sales

New York Attorney General Letitia James today issued the following statement after she was indicted by the U.S. Attorney’s office of the Eastern District of Virginia. 
“This is nothing more than a continuation of the president’s desperate weaponization of our justice system.
He is forcing federal law enforcement agencies to do his bidding,
all because I did my job as the New York State Attorney General.  
“These charges are baseless,
and the president’s own publi…

Attorney General Letitia James Issues Statement on Donald Trump’s Weaponization of the Department of Justice
NEW YORK – New York Attorney General Letitia James today issued the following statement after she was indicted by the U.S. Attorney’s office of the Eastern

AI-assisted Programming May Decrease the Productivity of Experienced Developers by Increasing Maintenance Burden
Feiyang (Amber), Xu, Poonacha K. Medappa, Murat M. Tunc, Martijn Vroegindeweij, Jan C. Fransoo
https://arxiv.org/abs/2510.10165

AI-assisted Programming May Decrease the Productivity of Experienced Developers by Increasing Maintenance Burden
Generative AI solutions like GitHub Copilot have been shown to increase the productivity of software developers. Yet prior work remains unclear on the quality of code produced and the challenges of maintaining it in software projects. If quality declines as volume grows, experienced developers face increased workloads reviewing and reworking code from less-experienced contributors. We analyze developer activity in Open Source Software (OSS) projects following the introduction of GitHub Copilot.…

New York Attorney General Letitia James today issued the following statement after she was indicted by the U.S. Attorney’s office of the Eastern District of Virginia. 
“This is nothing more than a continuation of the president’s desperate weaponization of our justice system.
He is forcing federal law enforcement agencies to do his bidding,
all because I did my job as the New York State Attorney General.  
“These charges are baseless,
and the president’s own publi…

Attorney General Letitia James Issues Statement on Donald Trump’s Weaponization of the Department of Justice
NEW YORK – New York Attorney General Letitia James today issued the following statement after she was indicted by the U.S. Attorney’s office of the Eastern

🇺🇦 Auf radioeins läuft...
Superspace:
🎵 Superspace Feeling (House Version)
#NowPlaying #Superspace
https://superspacemusic.bandcamp.com/track/superspace-feeling-house-version-2
https://open.spotify.com/track/4gVlkx1BUOFnjqbhUNKrNC