3 papers
math.AT2026
New infinite families in the stable homotopy groups of spheres
Prasit Bhattacharya, Irina Bobkova, J. D. Quigley
We identify seven new -periodic infinite families of elements in the -primary stable homotopy groups of spheres. Although their Hurewicz image is trivial for topological mo…
math.AT2026
The Exotic -Local Picard Group at the Prime
Agnes Beaudry, Irina Bobkova, Paul G. Goerss +3
We calculate the group of exotic elements in the -local Picard group at the prime and find it is a group of order isomorphic to $(\mathbb{Z}/8)^2 \times (\ma…
cond-mat.str-el2025
Charting the space of ground states with tensor networks
Marvin Qi, David T. Stephen, Xueda Wen +4
We employ matrix product states (MPS) and tensor networks to study topological properties of the space of ground states of gapped many-body systems. We focus on families of states…