Let M be a closed manifold with Abelian fundamental group of dimension m greater than or equal to 5. Assume the universal cover of M is spin. We use the eta invariant and equivariant spin bordism to study when M admits a metric of positive scalar curvature.
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Texas A&M Univ, Dept Math, College Stn, TX 77843 USATexas A&M Univ, Dept Math, College Stn, TX 77843 USA
Guo, Hao
Mathai, Varghese
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Univ Adelaide, Sch Math Sci, Adelaide, SA 5005, AustraliaTexas A&M Univ, Dept Math, College Stn, TX 77843 USA
Mathai, Varghese
Wang, Hang
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East China Normal Univ, Res Ctr Operator Algebras, Sci Bldg A505,3663 North Zhongshan Rd, Shanghai 200062, Peoples R ChinaTexas A&M Univ, Dept Math, College Stn, TX 77843 USA