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math.AT2026
Discrete signature tensors for persistence landscapes
Vincenzo Galgano, Heather A. Harrington, Daniel Tolosa
Signature tensors of paths are a versatile tool for mathematical data analysis. Recently, they have been applied in the context of vectorisation of persistent homology: after a cho…
math.AT2025
Left and right Bousfield localization on lattices
Andrés Carnero Bravo, Shuchita Goyal, SofÃa MartÃnez Alberga +3
The key information of a model category structure on a poset is encoded in a transfer system, which is a combinatorial gadget, originally introduced to investigate homotopy coheren…
math.AT2024
Cyclic homology of categorical coalgebras and the free loop space
Manuel Rivera, Daniel Tolosa
We prove that the cyclic chain complex of the categorical coalgebra of singular chains on an arbitrary topological space is naturally quasi-isomorphic to the -equivariant…