#homotopy theory
6 papers · 1 filter
Algebraic coherators, controlled theories, and Grothendieck realizations
Johnathon Taylor
The paper introduces a direct construction of algebraic coherators for Grothendieck ∞‑groupoids via the algebraic small object argument, defines unreduced and reduced Grothendieck…
Spaces of metrics with positive spectral scalar curvature
Gioacchino Antonelli, Georg Frenck, Bernhard Hanke
The paper investigates the space of Riemannian metrics on a closed manifold for which a generalized conformal Laplacian is positive, establishing homotopy equivalences and contract…
The spectrum of strict units of topological modular forms
Zhenpeng Li, Kiran Luecke
The paper computes the strict units of the spectrum of topological modular forms, focusing on its connective cover as a mapping spectrum from the integers.
Zeros of one-forms and the topology of algebraic maps
Stefan Schreieder, Botong Wang
The authors construct smooth complex projective varieties whose Albanese morphisms are homotopy fiber bundles but not submersions, and whose holomorphic one-forms always have zeros…
Weak topological phases in the presence of interactions
Omar AntolÃn Camarena, Arun Debray, Cameron Krulewski +3
The paper classifies weak symmetry‑protected topological phases in dimensions 0–3 under short‑range interactions, using homotopy‑theoretic methods to identify which phases remain s…
Metrics on triangulated categories and their enhancements
Alberto Canonaco, Amnon Neeman, Paolo Stellari
The paper investigates the uniqueness of ∞‑categorical enhancements for natural subcategories of weakly approximable triangulated categories using a theory of excellent metrics, an…