The relative L-invariant is zero only for the 4-ball among rational homology balls, and relative trisections are unique up to interior stabilization, relative stabilization, and the new relative double twist.
Castro and Burak Ozbagci
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The relative $\mathcal{L}$-invariant of a compact $4$-manifold
The relative L-invariant is zero only for the 4-ball among rational homology balls, and relative trisections are unique up to interior stabilization, relative stabilization, and the new relative double twist.