Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Author:
Kokkinakis Anastasios
Supervisors info:
Κοντογεώργης Αριστείδης
Λαμπροπούλου Σοφία
Συκιώτης, Μιχαήλ
Original Title:
Τοπολογική Χειρουργική σε 3-πολλαπλότητες
Translated title:
Surgery on 3-manifolds
Summary:
In this essay we shall look into 3-manifolds and how we can obtain them through surgery. We shall define terms such as Heegaar Splitting, Dehn Twists, integral and rational surgery. We shall see how every closed orientable 3-manifold can be obtained through surgery on links or knots (Lickorish-Wallace) embedded in S3, we shall define the so called link framing and see how a framed link presents a closed orientable 3-manifold up to surgery and how modification on said framing can modify the manifold (Kirby Calculus). Finally we shall present some examples and applications of the above.
Main subject category:
Science
Keywords:
Heegaard splitting, Dehn surgery, lens spaces, Kirby calculus