Tootfinder

The Legendrian Hopf Link has exactly two Lagrangian fillings
Bryce Thomson
https://arxiv.org/abs/2506.15111 https://arxiv.org/pdf/250…

The Legendrian Hopf Link has exactly two Lagrangian fillings
We prove that there are precisely two embedded exact Lagrangian fillings of the standard Legendrian Hopf link, up to compactly supported Hamiltonian isotopy. It was known that the standard Legendrian Hopf link admitted at least two such Lagrangian fillings: we show these are all. Specifically, we use a type of neck-stretching procedure to construct a pseudoholomorphic conic fibration that makes a given arbitrary exact Lagrangian filling fiber over a real curve, under a global pseudoholomorphic …

They have finally come to realize that things have changed since the 1800s. Now, if they would stop writing off unknowns as UAPs, not to be reported, and actually confirm what all the “unknowns” flying over the border are.
Texas stops providing new funding for border wall construction https://ground.news/article/texas-stops-providing-new-funding-for-border-wall-construction_b2c4f2

Nippon Steel’s $14.9bn acquisition of US Steel closed on Wednesday,
confirming an unusual degree of power for the Trump administration after the Japanese company’s 18-month struggle to close the purchase.
Under the deal terms, Nippon bought 100% of US Steel shares at $55 a share, as it first laid out in its December 2023 offer for the well-known and struggling steelmaker.
A press release on the filing also discloses details of a national security agreement inked with the Tr…

Special Cases of the Shafarevich Conjecture for Complete Intersections in Abelian Varieties
Frank Lu
https://arxiv.org/abs/2506.14935 https://

Special Cases of the Shafarevich Conjecture for Complete Intersections in Abelian Varieties
In this paper, we prove the Shafarevich conjecture for certain complete intersections of hypersurfaces in abelian varieties defined over a number field $K$ using the Lawrence-Venkatesh method. The main new inputs we need are computation of certain Euler characteristics of these complete intersections and a big monodromy statement for the variation of Hodge structure arising from the middle cohomology of a family of such complete intersections. Following \cite{ls25}, we prove the latter by relat…

Optimal Control of Thin-Film Flow on a Flexible Topography
S. Alrashidy, A. Kalogirou, D. Kalise, K. G. van der Zee
https://arxiv.org/abs/2506.15340 https:…

Optimal Control of Thin-Film Flow on a Flexible Topography
This work presents a mathematical model for the optimal control of thin-film flows over a flexible topography influenced by an external force. Our thin-film model allows for the rupture of films as well as the coalescence of bubbles. The objective is to find the optimal distributed force acting on the topography that minimises the differences between actual and desired thin-film profiles. A nonlinear lubrication equation governing the fluid dynamics and appropriate functional settings for this …

I am now following the person who is mentioned in contacts over at
https://tootfinder.ch/
I think Tootfinder showed some of my recent toots and that helped an llm with search functionality(thank you duck.ai!) to find more info about a user named "shoppingtonz", oh wait that's me!
Yes, pl…

Tucker Carlson and Trump are falling out over the Iran war (Andrew Prokop/Vox)
https://www.vox.com/politics/417085/trump-kooky-tucker-carlson-iran-israel
http://www.memeorandum.com/250617/p119#a250617p119

Variety of wildlife in UK’s woodlands falling as habitats degrade, says report https://www.theguardian.com/environment/2025/jun/10/variety-of-wildlife-in-uks-woodlands-falling-as-habitats-degrade-says-report

from my link log —
Elementary functions NOT following the IEEE 754 floating-point standard.
http://www.hlsl.co.uk/blog/2020/1/29/ieee754-is-not-followed
saved 2025-02-11

Elementary Functions and NOT Following the IEEE 754 Floating-Point Standard — TRYING TO FIND THE OBVIOUS
The IEEE-754 Standard for floating-point numbers was introduced initially in 1985 to solve the problem of diverse floating point implementations prevent code being portable and increase stability across platforms. It has been widely adopted and revised over the last 30 years and if you have dealt

Positional numeral systems over polyadic rings
Steven Duplij
https://arxiv.org/abs/2506.12930 https://arxiv.org/pdf/2506.12930…

Positional numeral systems over polyadic rings
We construct positional numeral systems that work natively over nonderived polyadic $\left( m,n\right) $-rings whose addition takes $m$ arguments and multiplication takes $n$. In such rings, the length of an admissible additive word and a multiplicative tower are not arbitrary (as in the binary case), but \textquotedblleft quantized\textquotedblright. Our main contributions are the following. Existence: every commutative $\left( m,n\right) $-ring admits a base-$p$ place-value expansion that res…