Generalized Product Theorems for Torsion Invariants with Applications to Flat Bundles
نویسنده
چکیده
This note announces generalizations of the product theorems for Wall invariants and Whitehead torsions due to Gersten [5], Siebenmann [7, Chapter VII], and Kwun and Szczarba [6], and applies these theorems to study torsion invariants of the total space of a flat bundle. The generalized product theorems are described in §§1 and 2. The applications are found in §3. These theorems were discovered in an attempt to understand more clearly the orientation phenomena discovered in [1] and [2] by concentrating attention on bundles in which "orientation" is a complete bundle invariant. The author would like to thank D. Sullivan whose use of the word "flat" in a private conversation stimulated this work.
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تاریخ انتشار 2007