Novikov ring

id: novikov-ring-264-4122400
title: Novikov ring
text: In mathematics, given an additive subgroup Γ ⊂ R , the Novikov ring Nov ⁡ of Γ is the subring of Z [ [ Γ ] ] consisting of formal sums ∑ n γ i t γ i such that γ 1 > γ 2 > ⋯ and γ i → − ∞ . The notion was introduced by Sergei Novikov in the papers that initiated the generalization of Morse theory using a closed one-form instead of a function. The notion is used in quantum cohomology, among the others. The Novikov ring Nov ⁡ is a principal ideal domain. Let S be the subset of Z [ Γ ] consisting of
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category slug: encyclopedia
description: Mathematical construct
original url: https://en.wikipedia.org/wiki/Novikov_ring
date created:
date modified: 2023-09-19T08:42:03Z
main entity: {"identifier":"Q17144196","url":"https://www.wikidata.org/entity/Q17144196"}
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integrity: 14

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