Surgery on 3-manifolds

Postgraduate Thesis uoadl:2886114 679 Read counter

Unit:
Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science
Deposit date:
2019-11-21
Year:
2019
Author:
Kokkinakis Anastasios
Supervisors info:
Κοντογεώργης Αριστείδης
Λαμπροπούλου Σοφία
Συκιώτης, Μιχαήλ
Original Title:
Τοπολογική Χειρουργική σε 3-πολλαπλότητες
Languages:
Greek
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
Index:
No
Number of index pages:
0
Contains images:
Yes
Number of references:
13
Number of pages:
65
Αναστάσιος Κοκκινάκης Διπλωματική.pdf (2 MB) Open in new window