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Pin(2)-equivariant KO-theory and intersection forms of spin four-manifolds

林剑锋 University of California Los Angeles

Geometric Analysis and Geometric Topology mathscidoc:2205.15010

Algebraic & Geometric Topology, 2015.6
Using Seiberg-Witten Floer spectrum and Pin(2)-equivariant KO-theory, we prove new Furuta-type inequalities on the intersection forms of spin cobordisms between homology 3-spheres. As an application, we give explicit constrains on the intersection forms of spin 4-manifolds bounded by Brieskorn spheres ±Σ(2,3,6k±1). Along the way, we also give an alternative proof of Furuta-Kametanni's improvement of 10/8-theorem for closed spin-4 manifolds.
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@inproceedings{林剑锋2015pin(2)-equivariant,
  title={Pin(2)-equivariant KO-theory and intersection forms of spin four-manifolds},
  author={林剑锋},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220517181138846644255},
  booktitle={Algebraic & Geometric Topology},
  year={2015},
}
林剑锋. Pin(2)-equivariant KO-theory and intersection forms of spin four-manifolds. 2015. In Algebraic & Geometric Topology. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220517181138846644255.
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