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Seminars

Seminar
FIELD Math:Topology
DATE May 17 (Fri), 2019
TIME 16:00-17:00
PLACE 1423
SPEAKER Kyungbae Park
HOST Park, Byungdo
INSTITUTE Seoul National University
TITLE [GS_M_Topo] On definite intersection forms of 4-manifolds with boundary
ABSTRACT The intersection pairing of the second homology group of a compact oriented 4-manifold is a symmetric bilinear form on an integer lattice, called the intersection form. In this talk, we discuss which definite forms can be realized as the intersection forms of 4-manifolds bounded by a given 3-manifold. We also introduce our results to this question by using the conditions on such forms induced from the Donaldson’s diagonalization theorem and Heegaard Floer theory. This is joint work with Dong Heon Choe.
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