2026-06-27T06:05:25Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/577042023-08-26T03:33:39Zcom_20.500.14352_14col_20.500.14352_15

Montesinos Amilibia, José María Safont Edo, Carmen 2023-06-20T17:03:37Z 2023-06-20T17:03:37Z 1988-03 0030-8730 https://hdl.handle.net/20.500.14352/57704 http://projecteuclid.org/euclid.pjm/1102689797 http://pjm.math.berkeley.edu/ J. Birman had observed that the homological information about a given Heegaard splitting of genus g is contained in a double coset in the group of symplectic 2g×2g integer matrices with respect to a suitable subgroup, and found a determinant invariant of this double coset. We obtain complete invariants of these double cosets by characterizing it in terms of the linking form of the manifold lifted to a handlebody of the Heegaard splitting and then finding complete invariants of this lifted form. eng open access On the Birman invariants of Heegaard splittings journal article