Tootfinder

Este nuevo prisma sobre la #IA no lo habíamos contemplado aún: el consumo de energía es tan alto que estš afectando en una subida de precios para todos los consumidores. Y ya sabemos que la subida de la luz repercute en la subida de todos los demšs precios.
Enhorabuena a los genios.
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Theta-invariants of $\mathbb{Z}\pi$-homology equivalences to spherical 3-manifolds
Hisatoshi Kodani, Tadayuki Watanabe
https://arxiv.org/abs/2507.12121 htt…

Theta-invariants of $\mathbb{Z}π$-homology equivalences to spherical 3-manifolds
We study Bott and Cattaneo's $Θ$-invariant of 3-manifolds applied to $\mathbb{Z}π$-homology equivalences from 3-manifolds to a fixed spherical 3-manifold. The $Θ$-invariants are defined by integrals over configuration spaces of two points with local systems and by choosing some invariant tensors. We compute upper bounds of the dimensions of the space spanned by the Bott--Cattaneo $Θ$-invariants and of that spanned by Garoufalidis and Levine's finite type invariants of type 2. The computatio…