Heegaard Floer homology and the word metric on the Torelli group
Heegaard Floer homology and the word metric on the Torelli group
We study a relationship between the Heegaard Floer homology correction terms of integral homology spheres and the word metric on the Torelli group. For example, we give an elementary proof that the Cayley graph of the Torelli group has infinite diameter in the word metric induced by the generating set …