Memoirs of the American Mathematical Society 2011; 80 pp; softcover Volume: 209 ISBN10: 082185304X ISBN13: 9780821853047 List Price: US$73 Individual Members: US$43.80 Institutional Members: US$58.40 Order Code: MEMO/209/983
 It is well known that isotopic metrics of positive scalar curvature are concordant. Whether or not the converse holds is an open question, at least in dimensions greater than four. The author shows that for a particular type of concordance, constructed using the surgery techniques of Gromov and Lawson, this converse holds in the case of closed simply connected manifolds of dimension at least five. Table of Contents  Definitions and preliminary results
 Revisiting the surgery theorem
 Constructing GromovLawson cobordisms
 Constructing GromovLawson concordances
 GromovLawson concordance implies isotopy for cancelling surgeries
 GromovLawson concordance implies isotopy in the general case
 Appendix: Curvature calculations from the surgery theorem
 Bibliography
