Flat manifolds, harmonic spinors, and eta invariants
Michał Sadowski, Andrzej Szczepański
Abstract
Open-access reader
Michał Sadowski, Andrzej Szczepański
Abstract
Open-access reader
The aim of this paper is to calculate the eta invariants and the dimensions of the spaces of harmonic spinors of an infinite family of closed flat manifolds. It consits of some flat manifolds M with cyclic holonomy groups.
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The aim of this paper is to calculate the eta invariants and the dimensions of the spaces of harmonic spinors of an infinite family of closed flat manifolds. It consits of some flat manifolds M with cyclic holonomy groups.
Key concepts: Holonomy, Spinor, Pure mathematics, Mathematics, Hyperkähler manifold, Harmonic, Ricci-flat manifold, Mathematical analysis