Tootfinder

Legendrian and Lagrangian higher torsion
Daniel Alvarez Gavela, Kiyoshi Igusa, Michael Sullivan
https://arxiv.org/abs/2603.28007 https://arxiv.org/pdf/2603.28007 https://arxiv.org/html/2603.28007
arXiv:2603.28007v1 Announce Type: new
Abstract: Let $M$ be a closed manifold. We introduce a family of Legendrian isotopy invariants for Legendrians in $J^1M$, which we collectively call Legendrian higher torsion. Given a choice of a class $\mathcal{F}$ of fibre bundles over $M$, equipped with suitable unitary local systems, the Legendrian higher torsion of a Legendrian $\Lambda \subset J^1M$ is the subset of $H^*(M;\mathbf{R})$ consisting of higher Reidemeister torsion cohomology classes of fibre bundles $W$ over $M$ in the class $\mathcal{F}$ such that $\Lambda$ admits a generating function on a stabilization of $W$. For the class of tube bundles in the sense of Waldhausen we call the invariant tube torsion. In particular, we show that the tube torsion of a nearby Lagrangian $L \subset T^*M$ is well-defined when the stable Gauss map $L \to U/O$ is trivial and consists of a union of cosets of a normalized version of the Pontryagin character. We also identify a distinguished coset, invariant under Hamiltonian isotopy of $L$, which we call nearby Lagrangian torsion. We do not know whether nearby Lagrangians must have trivial tube torsion, as would follow from the nearby Lagrangian conjecture. However, we show that there exist Legendrians $\Lambda \subset J^1M$ with nontrivial tube torsion whose projection $\Lambda \to M$ is homotopic to a diffeomorphism.
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This Friday is the next Bandcamp Friday, and I'm pretty psyched for it. Despite grabbing things here and there (I can't always wait for Bandcamp Friday if there's something I wanna listen to and I'm out of free streaming plays 😂) - there's definitely several more things I wanna grab.
So much amazing stuff coming out lately.
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Why girls hate being serenaded - CrackerMilk
https://www.youtube.com/shorts/AH_IcotuBy4

🇺🇦 #NowPlaying on KEXP's #WoPop
Goran Bregović:
🎵 Ederlezi
#GoranBregović
https://kiros1.bandcamp.com/track/goran-bregovic-ederlezi-kiros-remix
https://open.spotify.com/track/0iJgOtbNDJg7A7iFfAdd3R

RE: https://infosec.exchange/@isotopp/116080057583606196
Hier (bzw im ersten verlinkten Blogpost) schreibt @… viel Schönes …

Uniformity and isotypic smallness for quantum-group representations
Alexandru Chirvasitu
https://arxiv.org/abs/2603.24855 https://arxiv.org/pdf/2603.24855 https://arxiv.org/html/2603.24855
arXiv:2603.24855v1 Announce Type: new
Abstract: Compact-group representations on Banach spaces are known to be norm-continuous precisely when they have finite spectra. For a quantum group with continuous-function algebra $\mathcal{C}(\mathbb{G})$ norm continuity can be cast analogously as the bounded weak$^*$-norm continuity of the representation's attached map $\mathcal{C}(\mathbb{G})^*\to \mathrm{End}(E)$. While the uniformity/isotypic finiteness equivalence no longer holds generally, it does for compact quantum groups either coamenable or having dimension-bounded irreducible representations. This generalizes the aforementioned classical variant, providing two independent quantum-specific mechanisms of recovering it.
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Siouxsie and the Banshees:
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https://roswellbrothers.bandcamp.com/track/siouxsie-and-the-banshees-peek-a-boo-roswell-brothers-edit
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Replaced article(s) found for physics.atom-ph. https://arxiv.org/list/physics.atom-ph/new
[1/1]:
- Low energy elastic scattering of hydrogen, deuterium and tritium on helium isotopes
B. J. P. Jones, A. Negi, A. Semakin

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