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Non-formality in PIN(2)-monopole Floer homology
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In previous work, we introduced a natural
\mathcal{A}_{\infty}
-structure on the Pin(2)-monopole Floer chain complex of a closed, oriented three-manifold
Y
, and showed that it is non-formal in the simplest case in which
Y
is the three-sphere
S^3
. 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.
Title: Non-formality in PIN(2)-monopole Floer homology
Description:
In previous work, we introduced a natural
\mathcal{A}_{\infty}
-structure on the Pin(2)-monopole Floer chain complex of a closed, oriented three-manifold
Y
, and showed that it is non-formal in the simplest case in which
Y
is the three-sphere
S^3
.
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.
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