A product formula for surgery obstructions

A product formula for surgery obstructions

by Morgan, John

Type Book
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Given a degree one normal map and a closed manifold one can form their product. The result is another degree one normal map. In this paper we calculate the surgery obstruction of the product in terms of the obstruction of the original normal map and invariants of the closed manifold provided that the latter is simply connected. The result depends on the congruence class module 4 of the dimension of the closed manifold.

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Title Statements

  • Full title :A product formula for surgery obstructions / John W. Morgan.

Summary

Given a degree one normal map and a closed manifold one can form their product. The result is another degree one normal map. In this paper we calculate the surgery obstruction of the product in terms of the obstruction of the original normal map and invariants of the closed manifold provided that the latter is simply connected. The result depends on the congruence class module 4 of the dimension of the closed manifold.

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Edition Statements

  • Publication Date:©1978.

Publication Statements

Notes

"Volume 14 ... end of volume."

The Physical Object

  • Description:xiv, 90 pages : : illustrations ; : 26 cm.

Edition Identifiers

  • ISBN:0821822012, 9780821822012
  • oclc:ocm03845388
  • LC Classification:QA3
  • Dewey Decimal:510/.8 s

Table of Contents

Preliminaries -- The a-priori surgery obstruction -- The index and the de Rham invariant -- The product formula -- An example.

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