Tau invariants in monopole and instanton theories

22 Oct 2020 Ghosh Sudipta Li Zhenkun Wong C. -M. Michael

In this paper, we study the basic properties of the tau invariant $\tau_I$ in instanton theory defined by the second author, and use these properties to identify $\tau_I$ with another tau invariant $\tau^{\sharp}$ in instanton Floer theory, which was introduced by Baldwin and Sivek. As a corollary, we also show that the tau invariant $\tau_M$, which was introduced by the second author, equals the the tau invariant in Heegaard Floer theory, which was introduced by Ozsv\'ath and Szab\'o... (read more)

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