Tootfinder

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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…

Eleven Local Volume dwarf galaxies in the FASHI survey
Aleksandra Nazarova, Dmitry Makarov, Igor Karachentsev, Chuan-Peng Zhang, Ming Zhu
https://arxiv.org/abs/2509.12828 https:…

Eleven Local Volume dwarf galaxies in the FASHI survey
We determined HI parameters for eleven nearby late-type dwarf galaxies using FASHI data cubes, despite the fact that the first version of the FASHI catalog does not list any radio sources that could correspond to these galaxies. Four of them are probable peripheral satellites of the bright spiral galaxies: NGC 3556, NGC 4258, NGC 4274, NGC 4490, while others are isolated objects. The considered sample has the following median parameters: a heliocentric velocity of $V_\mathrm{h} = 542 \ km/s$, a…

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

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…

As we continue down this path of escalating nihilistic meme violence, it can feel like the worst things have become viral. We are drowning in the memetic effluent of a capitalist media that profits by maximizing engagement. But I wonder if anyone remembers "Pay it Forward?"
A movie came out in 2000 about a kid who started a viral kindness campaign. The idea was that you do something nice for someone else with the expectation that they do the same in the future. I never really saw the movie, but I do remember the time. There were a few weeks, maybe a few months, where people started doing it. People would just be randomly nice, and everything actually just started feeling better.
Over time, the world caught up. Capitalism consumed the whole thing, and life went back to normal. 9/11 happened the next year, and the US started down the path of becoming the most twisted and evil version of itself. But there was a short time that doing nice stuff was a viral meme, a thing that people just started doing.
Gun violence doesn't have to be the only viral meme we have. We can make good things happen too.

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

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

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