Work

Braiding non-orientable surfaces in S^4

Year: 2001

Type: article

Abstract: Closed braided surfaces in $S^4$ are the two-dimensional analogous of closed braids in $S^3$. They are usefull in studying smooth closed orientable surfaces in $S^4$, since any such a surface is isotopic to a braided one. We show that the non-orientable version of this result does not hold, that is smooth closed non-orientable surfaces cannot be braided. In fact, any reasonable definition of non-orientable braided surfaces leads to very strong restrictions in terms of self-intersection and Euler characteristic.

Source: ArTS Archivio della ricerca di Trieste (University of Trieste https://www.units.it/)

Authors: PIERGALLINI RICCARDO, ZUDDAS D

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2187654237

FWCI:

Cites: 10

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Related to: 10