Non-orientable slice surfaces and inscribed rectangles
dc.contributor.author
Feller, Peter
dc.contributor.author
Golla, Marco
dc.date.accessioned
2023-11-27T09:14:06Z
dc.date.available
2023-11-25T05:55:39Z
dc.date.available
2023-11-27T09:14:06Z
dc.date.issued
2023
dc.identifier.issn
0391-173X
dc.identifier.other
10.2422/2036-2145.202105_099
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/643685
dc.description.abstract
We discuss differences between genera of smooth and locally-flatnon-orientable surfaces in the 4-ball with boundary a given torus knot or 2-bridge knot. In particular, we establish that a result by Batson on the smoothnon-orientable 4-genus of torus knots does not hold in the locally-flat category.We further show that certain families of torus knots are not boundaries of embed-ded Möbius bands in the 4-ball and other 4 manifolds.Our investigation of non-orientable surfaces whose boundary is a giventorus knot is motivated by our approach to unify the proof of the existence of in-scribed squares and of inscribed rectangles with aspect ratio √3 in Jordan curveswith a regularity condition. This generalizes a result by Hugelmeyer for smoothJordan curves.
en_US
dc.language.iso
en
en_US
dc.publisher
Scuola Normale Superiore
en_US
dc.title
Non-orientable slice surfaces and inscribed rectangles
en_US
dc.type
Journal Article
dc.date.published
2023-09-29
ethz.journal.title
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
ethz.journal.volume
24
en_US
ethz.journal.issue
3
en_US
ethz.journal.abbreviated
Ann. sc. norm. super. Pisa, Cl. sci. (Testo stamp.)
ethz.pages.start
1463
en_US
ethz.pages.end
1485
en_US
ethz.grant
Low-dimensional topology with a view toward the fourth dimension and complex geometry
en_US
ethz.identifier.wos
ethz.publication.status
published
en_US
ethz.grant.agreementno
181199
ethz.grant.fundername
SNF
ethz.grant.funderDoi
10.13039/501100001711
ethz.grant.program
Eccellenza
ethz.date.deposited
2023-11-25T05:55:41Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2023-11-27T09:14:07Z
ethz.rosetta.lastUpdated
2023-11-27T09:14:07Z
ethz.rosetta.versionExported
true
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Journal Article [133568]