Novikov additivity II (Ex)
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(Created page with "<wikitex>; This is an exercise in Novikov additivity for normal complexes. Let $(Y,X)$ be a $2n$-dimensional Poincare pair with the fundametal class $[Y]$ which maps to the f...")
(Created page with "<wikitex>; This is an exercise in Novikov additivity for normal complexes. Let $(Y,X)$ be a $2n$-dimensional Poincare pair with the fundametal class $[Y]$ which maps to the f...")
Latest revision as of 11:18, 29 May 2012
This is an exercise in Novikov additivity for normal complexes.
Let be a -dimensional Poincare pair with the fundametal class which maps to the fundamental class under the boundary homomorphism, .
Suppose that we have a -dimensional normal pair whose fundamental class maps to under the boundary map. Form the normal space . Show that
Hint: check the Novikov additivity exercise and the definition of the quadratic boundary of a (normal,Poincare) pair.