Corpus ID: 119645671

Axiomatic S^1 Morse-Bott theory

  title={Axiomatic S^1 Morse-Bott theory},
  author={Michael Hutchings and Jo Ann Nelson},
  • Michael Hutchings, Jo Ann Nelson
  • Published 2017
  • Mathematics
  • In various situations in Floer theory, one extracts homological invariants from "Morse-Bott" data in which the "critical set" is a union of manifolds, and the moduli spaces of "flow lines" have evaluation maps taking values in the critical set. This requires a mix of analytic arguments (establishing properties of the moduli spaces and evaluation maps) and formal arguments (defining or computing invariants from the analytic data). The goal of this paper is to isolate the formal arguments, in the… CONTINUE READING

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