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.
Item Citations and Data
Attribution-NonCommercial-NoDerivatives 4.0 International