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19962026
most citedSelective review of offline change point detection methods

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math.AT2025

Correction to: An algebraic model for finite loop spaces

Carles Broto, Ran Levi, Bob Oliver

We correct here two errors in our earlier paper "An algebraic model for finite loop spaces" [arXiv:1212.2033]

math.AT2025

Equivariant formality of the little disks operad

Pedro Boavida de Brito, Joana Cirici, Geoffroy Horel

The little -disks operad is and -equivariantly formal over the rationals. Equivalently, the oriented and unoriented framed little disks operads are rationally form…

math.AT2024

Trace methods for stable categories I: The linear approximation of algebraic K-theory

Yonatan Harpaz, Thomas Nikolaus, Victor Saunier

We study algebraic K-theory and topological Hochschild homology in the setting of bimodules over a stable category, a datum we refer to as a laced category. We show that in this se…

math.AT2024

An operadic proof of the BTT Theorem

Joana Cirici, Geoffroy Horel

In this note, we explain an operadic proof of the BTT Theorem stating that the deformation theory of Calabi-Yau varieties is unobstructed. We also provide a short new proof of the…

math.AT2024

E2 formality via obstruction theory

Geoffroy Horel

We attack the question of E_2-formality of differential graded algebras over prime fields via obstruction theory. We are able to prove that E_2-algebras whose cohomology ring is a…

math.AT2024

Toric wedge induction and toric lifting property for piecewise linear spheres with a few vertices

Suyoung Choi, Hyeontae Jang, Mathieu Vallée

Let be an -dimensional piecewise linear sphere on , where . There are a canonical action of -dimensional torus on the moment-angle complex $\mat…