RT Journal Article T1 On the Birman invariants of Heegaard splittings A1 Montesinos Amilibia, José María A1 Safont Edo, Carmen AB 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. PB Pacific Journal of Mathematics SN 0030-8730 YR 1988 FD 1988-03 LK https://hdl.handle.net/20.500.14352/57704 UL https://hdl.handle.net/20.500.14352/57704 LA eng DS Docta Complutense RD 18 abr 2025