Homotopy invariants of nonorientable 4-manifolds

Myung Ho Kim; Sadayosh Kojima; Frank Raymond

doi:10.1090/S0002-9947-1992-1028758-1

Homotopy invariants of nonorientable 4-manifolds

Myung Ho Kim, Sadayosh Kojima, Frank Raymond

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We define a Z₄-quadratic function on π₂ for nonorientable 4-manifolds and show that it is a homotopy invariant. We then use it to distinguish homotopy types of certain manifolds that arose from an analysis of toral action on nonorientable 4-manifolds.

Original language	English
Pages (from-to)	71-81
Number of pages	11
Journal	Transactions of the American Mathematical Society
Volume	333
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1992-1028758-1
Publication status	Published - 1992 Sept
Externally published	Yes

Keywords

4-manifold
Fundamental group
Homotopy equivalence

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9947-1992-1028758-1

Cite this

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title = "Homotopy invariants of nonorientable 4-manifolds",

abstract = "We define a Z4-quadratic function on π2 for nonorientable 4-manifolds and show that it is a homotopy invariant. We then use it to distinguish homotopy types of certain manifolds that arose from an analysis of toral action on nonorientable 4-manifolds.",

keywords = "4-manifold, Fundamental group, Homotopy equivalence",

author = "Kim, {Myung Ho} and Sadayosh Kojima and Frank Raymond",

year = "1992",

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doi = "10.1090/S0002-9947-1992-1028758-1",

language = "English",

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AU - Kojima, Sadayosh

AU - Raymond, Frank

PY - 1992/9

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AB - We define a Z4-quadratic function on π2 for nonorientable 4-manifolds and show that it is a homotopy invariant. We then use it to distinguish homotopy types of certain manifolds that arose from an analysis of toral action on nonorientable 4-manifolds.

KW - 4-manifold

KW - Fundamental group

KW - Homotopy equivalence

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JO - Transactions of the American Mathematical Society

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Homotopy invariants of nonorientable 4-manifolds

Abstract

Keywords

ASJC Scopus subject areas

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