ON STANDARD FORMS OF 1-DOMINATIONS BETWEEN KNOTS WITH SAME GROMOV VOLUMES
ON STANDARD FORMS OF 1-DOMINATIONS BETWEEN KNOTS WITH SAME GROMOV VOLUMES
Let k and k′ be two knots in the 3-sphere. Say k 1-dominates k′, if there is a proper degree 1 map f: E(k) → E(k′). Theorem: Suppose that any companion of k is prime. If k 1-dominates k′ with the same Gromov volume, then k′ can be obtained from …