Publications [#367063] of Biji Wong

Papers Published

1. 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 2024/10/18)

   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].