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Math @ Duke
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Publications [#367063] of Biji Wong
Papers Published
- Wong, B, G -Corks and Heegaard Floer homology,
Journal of Knot Theory and Its Ramifications, vol. 28 no. 12
(October, 2019) [doi]
(last updated on 2026/01/14)
Abstract: 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].
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