Homology cobordism and triangulations

Ciprian Manolescu

Homology cobordism and triangulations

Geometric Topology 2018-08-15 v2 Algebraic Topology

Authors: Ciprian Manolescu

Abstract

The study of triangulations on manifolds is closely related to understanding the three-dimensional homology cobordism group. We review here what is known about this group, with an emphasis on the local equivalence methods coming from Pin(2)- equivariant Seiberg-Witten Floer spectra and involutive Heegaard Floer homology.

Keywords

homology cobordism manifold triangulations Pin(2)-equivariant Seiberg-Witten Floer spectra involutive Heegaard Floer homology local equivalence

Cite

@article{arxiv.1803.09870,
  title  = {Homology cobordism and triangulations},
  author = {Ciprian Manolescu},
  journal= {arXiv preprint arXiv:1803.09870},
  year   = {2018}
}

Comments

14 pages. Written for the Proceedings of the ICM 2018. v2: Fixed definition of \Theta^n_Z on p.2

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