3 papers
math.GT2026
Relative multisections of higher-dimensional manifolds with boundary
Rudy Dissler
A multisection (as defined by Ben Aribi, Courte, Golla and Moussard) is a decomposition of a closed orientable manifold into model pieces. These model pieces are top-dimensional 1-…
math.GT2024
Multisections of -dimensional -spun -manifolds
Rudy Dissler
A multisection, or -section, of an -dimensional manifold is a decomposition of this manifold into -handlebodies of dimension , such that all these handlebod…
math.GT2023
Relative trisections of fiber bundles over the circle
Rudy Dissler
For an oriented --dimensional fiber bundle over , we build a relative trisection from a sutured Heegaard splitting of the fiber. We provide an algorithm to explicitly con…