A homotopy fibration theorem in dimension four

✍ Scribed by Jonathan A. Hillman

• Publisher: Elsevier Science
• Year: 1989
• Tongue: English
• Weight: 697 KB
• Volume: 33
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(89)80004-5

✦ Synopsis

We adapt and extend work of Barge to show that, under assumptions on the fundamental group alone, an infinite cyclic cover of a 4-dimensional Poincar~ duality complex with Euler characteristic 0 satisfies Poincar~ duality with local coefficients and so is a 3-dimensional Poincar6 duality complex. This implies that, modulo the 5-dimensional s-cobordism theorem, each spun fibred classical knot is determined topologically (up to orientation) by its group together with a weight class.