arXiv
Open Access
2025
Generation of sutured manifolds
Yi Ni
Abstrak
Given a compact, oriented, connected surface $F$, we show that the set of connected sutured manifolds $(M,γ)$ with $R_{\pm}(γ)\cong F$ is generated by the product sutured manifold $(F,\partial F)\times[0,1]$ through surgery triads. This result has applications in Floer theories of $3$--manifolds. The special case when $F=D^2$ or $S^2$ has been a folklore theorem, which has already been used by experts before.
Topik & Kata Kunci
Penulis (1)
Y
Yi Ni
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2025
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓