Tootfinder

This https://arxiv.org/abs/2301.02491 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A categorification of Quinn's finite total homotopy TQFT with application to TQFTs and once-extended TQFTs derived from strict omega-groupoids
We first revisit the construction of Quinn's finite total homotopy TQFT, which depends on the choice of a homotopy finite space, $\boldsymbol{B}$. This constitutes a vast generalisation of the Dijkgraaf-Witten TQFT, with a trivial cocycle, and of Yetter's homotopy 2-type TQFT. We build our construction directly from homotopy theoretical techniques, and hence, as in Quinn's original notes from 1995, the construction works in all dimensions. Our aim in this is to provide background for giving i…

Higher homotopy wild sets
Jeremy Brazas, Atish Mitra
https://arxiv.org/abs/2505.23665 https://arxiv.org/pdf/2505.23665

Higher homotopy wild sets
The $π_n$-wild set $\mathbf{w}_{n}(X)$ of a topological space $X$ is the subspace of $X$ consisting of the points at which there exists a shrinking sequence of essential based maps $S^n\to X$. In this paper, we show that the homotopy type of $\mathbf{w}_{n}(X)$ is a homotopy invariant of $X$ and, in analogy to the known one-dimensional case, we show that for certain $n$-dimensional $π_n$-shape injective metric spaces, the homeomorphism type of $\mathbf{w}_{n}(X)$ is a homotopy invariant of $X…

Handoff Design in User-Centric Cell-Free Massive MIMO Networks Using DRL
Hussein A. Ammar, Raviraj Adve, Shahram Shahbazpanahi, Gary Boudreau, Israfil Bahceci
https://arxiv.org/abs/2507.20966

Handoff Design in User-Centric Cell-Free Massive MIMO Networks Using DRL
In the user-centric cell-free massive MIMO (UC-mMIMO) network scheme, user mobility necessitates updating the set of serving access points to maintain the user-centric clustering. Such updates are typically performed through handoff (HO) operations; however, frequent HOs lead to overheads associated with the allocation and release of resources. This paper presents a deep reinforcement learning (DRL)-based solution to predict and manage these connections for mobile users. Our solution employs th…

Wie handfest ist die angekündigte Hilfe?
Der Besuch des ukrainischen Präsidenten im Kanzleramt stand ganz im Zeichen der Waffenhilfe. Deutschland sendet ein Signal der Unterstützung - doch wie handfest ist die angekündigte Hilfe?
🔗 https://www.tagessch…

Was vom Besuch Selenskyjs in Berlin bleibt
Der Besuch des ukrainischen Präsidenten im Kanzleramt stand ganz im Zeichen der Waffenhilfe. Deutschland sendet ein Signal der Unterstützung - doch wie handfest ist die angekündigte Hilfe?

Handbuch lesen bildet. Und kann auf magische Weise ganze Probleme lösen.

A Homotopical Invariant of Weinstein Surfaces
Shanon J. Rubin
https://arxiv.org/abs/2505.23377 https://arxiv.org/pdf/2505.23377

A Homotopical Invariant of Weinstein Surfaces
One generally expects that the techniques of arboreal singularities and gluing of local differential graded categories will result in a useful global invariant for all Weinstein manifolds. In this paper we construct explicit models for the homotopy limits of diagrams of microlocal sheaf categories which arise from Weinstein surfaces with arboreal skeleta. This is done by characterizing all relevant Reedy model structures on the categories of diagrams that we care about. We prove invariance usin…

Simplicial properadic homotopy
Eric Hoffbeck, Johan Leray, Bruno Vallette
https://arxiv.org/abs/2505.22004 https://arxiv.org/pdf/2505…

Simplicial properadic homotopy
In this paper, we settle the homotopy properties of the infinity-morphisms of homotopy (bial)-gebras over properads, i.e. algebraic structures made up of operations with several inputs and outputs. We start by providing the literature with characterizations for the various types of infinity-morphisms, the most seminal one being the equivalence between infinity-quasi-isomorphisms and zig-zags of quasi-isomorphisms which plays a key role in the study the formality property. We establish a simplic…

Anarchists: often said to be frighteningly violent and/or unhinged because maybe a handful of times in the nineteenth and twentieth centuries they used bombs or guns to target literal blood-soaked tyrants and help usher in the end of feudalism.
People who manufacture, sell, buy, and use guns and bombs daily to kill another nation's conscripted commoners along with a healthy dose of completely innocent civilians, who perpetuate genocide and other war crimes every year: heroes, I guess? "Civilized?" "Great leaders."
The distinction of course is that one obeys the "rules of society" about who it's okay to wantonly murder (whose "lives matter," in fact) while the other does not, and you've been trained to believe that anyone who violates those rules must not have any principles at all. All along, the rules have been crap.
#anarchy

Swan modules and homotopy types after a single stabilisation
Tommy Hofmann, John Nicholson
https://arxiv.org/abs/2507.21975 https://arxiv.org/pdf/2507.2197…

Swan modules and homotopy types after a single stabilisation
We study Swan modules, which are a special class of projective modules over integral group rings, and their consequences for the homotopy classification of CW-complexes. We show that there exists a non-free stably free Swan module, thus resolving Problem A4 in the 1979 Problem List of C. T. C. Wall. As an application we show that, in all dimensions $n \equiv 3$ mod $4$, there exist finite $n$-complexes which are homotopy equivalent after stabilising with multiple copies of $S^n$, but not after …

A modern perspective on rational homotopy theory
Eleftherios Chatzitheodoridis
https://arxiv.org/abs/2505.23322 https://arxiv.org/pdf…

A modern perspective on rational homotopy theory
In Quillen's paper on rational homotopy theory, the category of 1-reduced simplicial sets is endowed with a family of model structures, the most prominent of which is the one whose weak equivalences are the rational homotopy equivalences. In this paper, we give a modern approach to this family of model structures.