Plugs in simply-connected 4 manifolds with boundaries
In 1986, S. Boyer generalized Freedman's result to simply-connected topological 4 manifolds with boundaries. He proved in many cases, the intersection form and the boundary determine the homeomorphism types of the 4 manifolds. In this thesis, we will study simply-connected smooth 4 manifolds with boundaries by using handlebody techniques. We will show that: there do exist simply-connected smooth 4 manifolds with the same intersection form and the same boundary but not homeomorphic to each other, and the cause of this phenomenon is ``Plug''.
Read
- In Collections
-
Electronic Theses & Dissertations
- Copyright Status
- In Copyright
- Material Type
-
Theses
- Authors
-
Fan, Wei, Ph. D.
- Thesis Advisors
-
Akbulut, Selman
- Committee Members
-
Abbas, Casim
Hedden, Matthew
Fintushel, Ronald
Kalfagianni, Effie
- Date Published
-
2015
- Subjects
-
Four-manifolds (Topology)
- Program of Study
-
Mathematics - Doctor of Philosophy
- Degree Level
-
Doctoral
- Language
-
English
- Pages
- vi, 84 pages
- ISBN
-
9781321799347
1321799349
- Permalink
- https://doi.org/doi:10.25335/ghzq-jq16