Higher Â-genera on certain non-spin S1-manifolds

Haydeé Herrera; Rafael Herrera

doi:10.1016/j.topol.2010.03.005

Higher Â-genera on certain non-spin S¹-manifolds

Haydeé Herrera, Rafael Herrera

Rutgers Camden, Mathematics

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

2 Scopus citations

Abstract

We prove the vanishing of higher Â-genera, in the sense of Browder and Hsiang (1981/82) [4], on smooth S¹-manifolds with finite π₂ and π₄.

Original language	English (US)
Pages (from-to)	1658-1663
Number of pages	6
Journal	Topology and its Applications
Volume	157
Issue number	9
DOIs	https://doi.org/10.1016/j.topol.2010.03.005
State	Published - Jun 2010

All Science Journal Classification (ASJC) codes

Geometry and Topology

Keywords

Circle actions
Elliptic genus
Â-genus

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10.1016/j.topol.2010.03.005

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Cite this

@article{cbbb96b3e490444b9a18207c9ac92e69,

title = "Higher {\^A}-genera on certain non-spin S1-manifolds",

abstract = "We prove the vanishing of higher {\^A}-genera, in the sense of Browder and Hsiang (1981/82) [4], on smooth S1-manifolds with finite π2 and π4.",

keywords = "Circle actions, Elliptic genus, {\^A}-genus",

author = "Hayde{\'e} Herrera and Rafael Herrera",

note = "Funding Information: E-mail addresses: haydeeh@camden.rutgers.edu (H. Herrera), rherrera@cimat.mx (R. Herrera). 1 Partially supported by CONACYT grants: J48320-F, J110.387/2006.",

year = "2010",

month = jun,

doi = "10.1016/j.topol.2010.03.005",

language = "English (US)",

volume = "157",

pages = "1658--1663",

journal = "Topology and its Applications",

issn = "0166-8641",

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T1 - Higher Â-genera on certain non-spin S1-manifolds

AU - Herrera, Haydeé

AU - Herrera, Rafael

N1 - Funding Information: E-mail addresses: haydeeh@camden.rutgers.edu (H. Herrera), rherrera@cimat.mx (R. Herrera). 1 Partially supported by CONACYT grants: J48320-F, J110.387/2006.

PY - 2010/6

Y1 - 2010/6

N2 - We prove the vanishing of higher Â-genera, in the sense of Browder and Hsiang (1981/82) [4], on smooth S1-manifolds with finite π2 and π4.

AB - We prove the vanishing of higher Â-genera, in the sense of Browder and Hsiang (1981/82) [4], on smooth S1-manifolds with finite π2 and π4.

KW - Circle actions

KW - Elliptic genus

KW - Â-genus

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DO - 10.1016/j.topol.2010.03.005

M3 - Article

AN - SCOPUS:77952886321

VL - 157

SP - 1658

EP - 1663

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

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