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Symmetric group actions on homotopyS2×S2

✍ Scribed by Ximin Liu; Hongxia Li


Book ID
106198545
Publisher
Springer Vienna
Year
2007
Tongue
English
Weight
98 KB
Volume
153
Category
Article
ISSN
0026-9255

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On the homotopy types of closed 4-manifo
✍ Jonathan A. Hillman 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 622 KB

We show that if A4 is a closed 4-manifold such that ~z(A4) ?Z Z and x(M) 6 0 then its homotopy type is determined up to a finite ambiguity by T = TI (M). We also show that (for given T) the action of T on TZ(M) and the orientation character WI(M) determine each other, and find strong constraints on