Flat surfaces of finite type in the 3-sphere

dc.check.embargoformat	E-thesis on CORA only	en
dc.check.opt-out	No	en
dc.check.reason	This thesis is due for publication or the author is actively seeking to publish this material	en
dc.contributor.advisor	Kilian, Martin	en
dc.contributor.author	McCarthy, Alan
dc.date.accessioned	2015-08-20T15:29:12Z
dc.date.issued	2014
dc.date.submitted	2014
dc.description.abstract	We introduce the notion of flat surfaces of finite type in the 3- sphere, give the algebro-geometric description in terms of spectral curves and polynomial Killing fields, and show that finite type flat surfaces generated by curves on S2 with periodic curvature functions are dense in the space of all flat surfaces generated by curves on S2 with periodic curvature functions.	en
dc.description.status	Not peer reviewed	en
dc.description.version	Accepted Version
dc.format.mimetype	application/pdf	en
dc.identifier.citation	McCarthy, A. 2014. Flat surfaces of finite type in the 3-sphere. PhD Thesis, University College Cork.	en
dc.identifier.endpage	87
dc.identifier.uri	https://hdl.handle.net/10468/1935
dc.language.iso	en	en
dc.publisher	University College Cork	en
dc.rights	© 2014, Alan McCarthy.	en
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/	en
dc.subject	Differential geometry	en
dc.subject	Finite gap	en
dc.subject	Flat tori	en
dc.thesis.opt-out	false
dc.title	Flat surfaces of finite type in the 3-sphere	en
dc.type	Doctoral thesis	en
dc.type.qualificationlevel	Doctoral	en
dc.type.qualificationname	PhD (Arts)	en
ucc.workflow.supervisor	m.kilian@ucc.ie

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