Poincaré cobordism exact sequences and characterisation

Himadri Kumar Mukerjee

Vol. 146 (1990), No. 1, 85–101

DOI: 10.2140/pjm.1990.146.85

Abstract

Exact sequences connecting oriented and unoriented cobordism groups of Poincaré duality spaces, analogous to Rohlin’s and Wall’s exact sequences in differential and piecewise linear categories, are established and characterisation of elements of Poincaré cobordism groups (both oriented and unoriented) in terms of spherical characteristic numbers and index are given.

Mathematical Subject Classification 2000

Primary: 57P10

Milestones

Received: 27 August 1986

Revised: 1 June 1989

Published: 1 November 1990