Theory of Handle Presentations

Amiya Mukherjee
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Amiya Mukherjee: Indian Statistical Institute, Statistics and Mathematics Unit

Chapter Chapter 10 in Differential Topology, 2015, pp 299-340 from Springer

Abstract: Abstract All manifolds that will appear in this chapter will be compact unless stated otherwise. Our first result is the handle presentation theorem which says any cobordism M admits a Morse function f, and a decomposition, which is obtained by successively attaching handles corresponding to the critical points of f.

Keywords: Intersection Number; Normal Bundle; Homotopy Class; Duality Theorem; Tubular Neighbourhood (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-19045-7_10

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DOI: 10.1007/978-3-319-19045-7_10

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