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Author ORCID Identifier
https://orcid.org/0000-0003-4126-1082
AccessType
Open Access Dissertation
Document Type
dissertation
Degree Name
Doctor of Philosophy (PhD)
Degree Program
Mathematics
Year Degree Awarded
2021
Month Degree Awarded
September
First Advisor
R. Inanç Baykur
Subject Categories
Geometry and Topology
Abstract
We construct families of smoothly irreducible embeddings of surfaces in the 4-sphere, corresponding to a range of normal Euler numbers. We also describe a procedure to produce equivariant symplectic sums of real symplectic 4-manifolds. For explicit real symplectic involutions on pairs of symplectic 4-manifolds the conditions for the existence of equivariant symplectic sums can be detected combinatorially. Such sums are sought for potential new constructions of families of irreducible knotted surfaces in fixed four manifolds.
DOI
https://doi.org/10.7275/24486400
Recommended Citation
Havens, Andrew J., "Equivariant Surgeries and Irreducible Embeddings of Surfaces in Dimension Four" (2021). Doctoral Dissertations. 2335.
https://doi.org/10.7275/24486400
https://scholarworks.umass.edu/dissertations_2/2335
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License