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.. Realizing 4-manifolds as achiral Lefschetz fibrations . Int. Math. Res. Not ., posted on ( 2006 ), Art. ID 70272, 21 . [2] A . Ghanwat

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Abstract  

Let M be the closed, simply connected, 4-manifold with nonnegative sectional curvature, called a nonnegatively curved 4-manifold, with an effective and isometric Z m-action for a positive integer m ≧ 617. Assume that Z m acts trivially on the homology of M. The goal of this short paper is to prove that if the fixed point set of any nontrivial element of Z m has at most one two-dimensional component, then M is homeomorphic to S 4, #i l=1S 2 × S 2, l = 1, 2, or #j k = 1 ± CP 2, k = 1, 2, 3, 4, 5. The main strategy of this paper is to give an upper bound of the Euler characteristic χ(M) under the homological assumption of a Z m-action as above by using the Lefschetz fixed point formula.

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-Mrowka’s invariant for 4- manifolds with contact boundary . 2019 . [16] Tirasan Khandhawit . A new gauge slice for the relative Bauer-Furuta invariants . Geom. Topol ., 19 ( 3 ): 1631 – 1655 , 2015 . [17] Tirasan Khandhawit , Jianfeng Lin , and Hirofumi

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