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Wall's Stable Realization for Diffeomorphisms of Definite 4-manifolds

Ruberman, Daniel; Strle, Sašo (April 2025, Indiana University mathematics journal)
Demeter, Ciprian; Jolly, Michael; Judge, Chris; Le, Nam; Levenberg, Norm; Mandell, Michael; Pilgrim, Kevin; Sternberg, Peter; Strauch, Matthias; Wang, Shouhong (Ed.)
ABSTRACT. Let X be a smooth simply connected closed 4- manifold with definite intersection form. We show that any automorphism of the intersection form of X is realized by a dif- feomorphism of X#(S2×S2). This extends and completes Wall’s foundational result from 1964.
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Free, publicly-accessible full text available April 1, 2026
Equivariant hyperbolization of 3-manifolds via homology cobordisms

https://doi.org/10.1016/j.topol.2023.108485

Auckly, Dave; Kim, Hee Jung; Melvin, Paul; Ruberman, Daniel (March 2023, Topology and its Applications)

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Applications of Instanton Floer Homology

https://doi.org/10.1090/noti2536

Pinzón-Caicedo, Juanita; Ruberman, Daniel (September 2022, Notices of the American Mathematical Society)

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A Levine–Tristram invariant for knottedtori

https://doi.org/10.2140/agt.2022.22.2395

Ruberman, Daniel (January 2022, Algebraic & Geometric Topology)

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On the spectral sets of Inoue surfaces

https://doi.org/10.2140/obs.2022.5.285

Ruberman, Daniel; Saveliev, Nikolai (January 2022, Open Book Series)

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On the Thom Conjecture in CP^3

https://doi.org/https://doi.org/10.1093/imrn/rnab343

Ruberman, Daniel; Slapar, Marko; Strle, Sašo (December 2021, International mathematics research notices)

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On the monopole Lefschetz number of finite-order diffeomorphisms

https://doi.org/10.2140/gt.2021.25.3591

Lin, Jianfeng; Ruberman, Daniel; Saveliev, Nikolai (January 2021, Geometry & Topology)

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Isotopy of surfaces in 4-manifolds after a single stabilization

https://doi.org/10.1016/j.aim.2018.10.040

Auckly, Dave; Kim, Hee Jung; Melvin, Paul; Ruberman, Daniel; Schwartz, Hannah (January 2019, Advances in Mathematics)
null (Ed.)
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