BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

h-vectors and the number of generators of fundamental groups Murai, Satoshi


Hochster's results tell that homology groups of a simplicial complex have a nice relation to algebraic properties of its Stanley-Reisner ring. On the other hand, it is unknown that how fundamental groups affect to Stanley-Reisner rings. In this talk, we present lower bounds of the second h-number of simplicial complexes in terms of the number of generators of fundamental groups. Our proof is based on recent results about PL Morse inequality and graded Betti numbers.

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