Institute of Mathematics for Industry


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Golod and tight 3-manifolds

Hold Date 2022-05-13 16:00~2022-05-13 17:00

Place IMI Auditorium (W1-D-413)

Object person  

Speaker Daisuke Kishimoto (Kyushu University)

An abstract simplicial complex is called Golod if all products and (higher) Massey products in the Koszul homology of its Stanley-Reisner ring are trivial. It is challenging and interesting to characterize Golodness of a simplicial complex combinatorially. Recently, a topological approach to Golodness was found in toric topology, and several nice results were obtained by this approach. I will show that the Golodness of a 3-manifold triangulation is characterized, through topology, by a property called tightness, which is originated in differential geometry. This is joint work with Kouyemon Iriye.