arXiv
Open Access
2025
Contact surgery distance
Marc Kegel
Isacco Nonino
Monika Yadav
Abstrak
In this article, we define the contact surgery distance of two contact 3-manifolds $(M,ξ)$ and $(M',ξ')$ as the minimal number of contact surgeries needed to obtain $(M,ξ)$ from $(M',ξ')$. Our main result states that the contact surgery distance between two contact $3$-manifolds is at most $5$ larger than the topological surgery distance between the underlying smooth manifolds. As a byproduct of our proof, we classify the rational homology $3$-spheres on which the $d_3$-invariant of a $2$-plane field already determines its $Γ$-invariant and Euler class.
Topik & Kata Kunci
Penulis (3)
M
Marc Kegel
I
Isacco Nonino
M
Monika Yadav
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2025
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓