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Creators/Authors contains: "Ruberman, Daniel"

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  1. ; (, 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
  2. ; ; (, Journal of Differential Geometry)
    Given an involution on a rational homology 3-sphere Y with quotient the 3-sphere, we prove a formula for the Lefschetz num- ber of the map induced by this involution in the reduced mono- pole Floer homology. This formula is motivated by a variant of Witten’s conjecture relating the Donaldson and Seiberg–Witten invariants of 4-manifolds. A key ingredient is a skein-theoretic ar- gument, making use of an exact triangle in monopole Floer homol- ogy, that computes the Lefschetz number in terms of the Murasugi signature of the branch set and the sum of Frøyshov invariants as- sociated to spin structures on Y . We discuss various applications of our formula in gauge theory, knot theory, contact geometry, and 4-dimensional topology. 
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  3. ; ; ; (, Topology and its Applications)
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  4. ; (, Notices of the American Mathematical Society)
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  5. (, Algebraic & Geometric Topology)
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  6. ; (, Open Book Series)
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  7. ; ; (, International mathematics research notices)
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  8. ; ; (, Journal of Topology and Analysis)
    In this paper, we use the [Formula: see text]-spin theorem to show that the Davis hyperbolic 4-manifold admits harmonic spinors. This is the first example of a closed hyperbolic [Formula: see text]-manifold that admits harmonic spinors. We also explicitly describe the spinor bundle of a spin hyperbolic 2- or 4-manifold and show how to calculated the subtle sign terms in the [Formula: see text]-spin theorem for an isometry, with isolated fixed points, of a closed spin hyperbolic 2- or 4-manifold. 
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  9. ; ; (, Geometry & Topology)
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  10. ; (, Algebraic & Geometric Topology)
    null (Ed.)
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