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- W1761498844 abstract "In this paper we present a way of computing a lower bound for the genus of any smooth representative of a homology class of positive self-intersection in a smooth four-manifold $X$ with second positive Betti number $b^{+}_{2}(X) = 1$. We study the solutions of the Seiberg-Witten equations on the cylindrical end manifold which is the complement of the surface representing the class. The result can be formulated as a form of generalized adjunction inequality. The bounds obtained depend only on the rational homology type of the manifold, and include the Thom conjecture as a special case. We generalize this approach to derive lower bounds on the number of intersection points of $n$ algebraically disjoint surfaces of positive self-intersection in manifolds with $b^{+}_{2}(X) = n$." @default.
- W1761498844 created "2016-06-24" @default.
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- W1761498844 date "2003-11-01" @default.
- W1761498844 modified "2023-09-30" @default.
- W1761498844 title "Bounds on genus and geometric intersections from cylindrical end moduli spaces" @default.
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- W1761498844 doi "https://doi.org/10.4310/jdg/1434052757" @default.
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