Non-formality in PIN(2)-monopole Floer homology
Francesco Lin
Columbia University, New York, USA
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Abstract
In previous work, we introduced a natural -structure on the Pin(2)-monopole Floer chain complex of a closed, oriented three-manifold , and showed that it is non-formal in the simplest case in which is the three-sphere . In this paper, we explore further this non-formality phenomenon. Specifically, we provide explicit descriptions of several Massey products induced on homology, and discuss applications to the computation of the Pin(2)-monopole Floer homology of connected sums.
Cite this article
Francesco Lin, Non-formality in PIN(2)-monopole Floer homology. Quantum Topol. 12 (2021), no. 2, pp. 309–371
DOI 10.4171/QT/151