Year: 2026
Type: preprint
Abstract: We show the homology cobordism group of homology $3$-spheres is not generated by graph homology $3$-spheres. Our technique is a combination of filtered instanton Floer theory and Gromov's simplicial volume.
Source: arXiv (Cornell University)
Authors: Mares, Ben, Nozaki, Yuta, Taniguchi, Masaki
Institution: Kyoto University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213306412