Uniqueness of 4-manifolds described as sequences of 3-d handlebodies

Autor: Islambouli, Gabriel
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: Work of numerous authors has shown that any smooth, orientable, closed 4-manifold may be described as a loop of Morse functions on a surface, a loop in the cut complex, a loop in the pants complex, or as a multisection. In this paper, we prove a corresponding uniqueness theorem for each of these descriptions, so that, for example, any two loops of Morse functions on a surface yielding diffeomorphic 4-manifolds are related by a given set of moves.
Comment: 31 pages, 22 figures
Databáze: arXiv