G -Corks and Heegaard Floer homology
Publication
, Journal Article
Wong, B
Published in: Journal of Knot Theory and its Ramifications
October 1, 2019
In [D. Auckly, H. J. Kim, P. Melvin and D. Ruberman, Equivariant corks, Algebr. Geom. Topol. 17(3) (2017) 1771-1783], Auckly-Kim-Melvin-Ruberman showed that for any finite subgroup G of SO(4) there exists a contractible smooth 4-manifold with an effective G-action on its boundary so that the twists associated to the non-trivial elements of G don't extend to diffeomorphisms of the entire manifold. We give a different proof of this phenomenon using the Heegaard Floer techniques in [S. Akbulut and Ç. Karakurt, Action of the cork twist on Floer homology, in Proc. Gökova Geometry-Topology Conf. 2011 (International Press, Somerville, MA, 2012), pp. 42-52].
Duke Scholars
Published In
Journal of Knot Theory and its Ramifications
DOI
ISSN
0218-2165
Publication Date
October 1, 2019
Volume
28
Issue
12
Related Subject Headings
- General Mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Wong, B. (2019). G -Corks and Heegaard Floer homology. Journal of Knot Theory and Its Ramifications, 28(12). https://doi.org/10.1142/S0218216519500780
Wong, B. “G -Corks and Heegaard Floer homology.” Journal of Knot Theory and Its Ramifications 28, no. 12 (October 1, 2019). https://doi.org/10.1142/S0218216519500780.
Wong B. G -Corks and Heegaard Floer homology. Journal of Knot Theory and its Ramifications. 2019 Oct 1;28(12).
Wong, B. “G -Corks and Heegaard Floer homology.” Journal of Knot Theory and Its Ramifications, vol. 28, no. 12, Oct. 2019. Scopus, doi:10.1142/S0218216519500780.
Wong B. G -Corks and Heegaard Floer homology. Journal of Knot Theory and its Ramifications. 2019 Oct 1;28(12).
Published In
Journal of Knot Theory and its Ramifications
DOI
ISSN
0218-2165
Publication Date
October 1, 2019
Volume
28
Issue
12
Related Subject Headings
- General Mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics