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A compact non‐formal closed G2 manifold with b1=1$b_1=1$

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  • Lucía Martín‐Merchán

Abstract

We construct a compact manifold with a closed G2 structure not admitting any torsion‐free G2 structure, which is non‐formal and has first Betti number b1=1$b_1=1$. We develop a method of resolution for orbifolds that arise as a quotient M/Z2$M/{{\mathbb {Z}}_2}$ with M a closed G2 manifold under the assumption that the singular locus carries a nowhere‐vanishing closed 1‐form.

Suggested Citation

  • Lucía Martín‐Merchán, 2022. "A compact non‐formal closed G2 manifold with b1=1$b_1=1$," Mathematische Nachrichten, Wiley Blackwell, vol. 295(8), pages 1562-1590, August.
    • Handle: RePEc:bla:mathna:v:295:y:2022:i:8:p:1562-1590
    DOI: 10.1002/mana.202000452
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