In every simply connected smooth 4-manifold and every genus at least 3, there are infinitely many topologically distinct smoothly embedded surfaces whose orientation-preserving ambient symmetries are trivial and whose Alexander module is arbitrary.
Friedl,Realizations of Seifert matrices by hyperbolic knots, J
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Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds
In every simply connected smooth 4-manifold and every genus at least 3, there are infinitely many topologically distinct smoothly embedded surfaces whose orientation-preserving ambient symmetries are trivial and whose Alexander module is arbitrary.