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We determine for which exotic tori of dimension the homomorphism from the group of isotopy classes of orientation-preserving diffeomorphisms of to given by the action on the first homology group is split surjective. As part of the proof we compute the mapping class group of all exotic tori that are obtained from the standard torus by a connected sum with an exotic sphere. Moreover, we show that any nontrivial -action on agrees on homology with the standard action, up to an automorphism of . When combined, these results in particular show that many exotic tori do not admit any nontrivial differentiable action by .more » « lessFree, publicly-accessible full text available November 15, 2025
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Free, publicly-accessible full text available November 7, 2025
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Abstract Tau neutrinos are the least studied particle in the standard model. This whitepaper discusses the current and expected upcoming status of tau neutrino physics with attention to the broad experimental and theoretical landscape spanning long-baseline, beam-dump, collider, and astrophysical experiments. This whitepaper was prepared as a part of the NuTau2021 Workshop.more » « less
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