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4 papers
Relative Seiberg-Witten and Ozsvath-Szabo 4-dimensional invariants with respect to embedded surfaces
Sergey Finashin
We study the invariants of surfaces in 4-manifolds extracted from the Seiberg-Witten and the Ozsvath-Szabo invariants of their fiber sums with auxiliary Lefschetz fibrations. Such…
Knotting of algebraic curves in complex surfaces
Sergey Finashin
A non-singular connected algebraic curve in a simply connected algebraic surface can be knotted so that its homology class and the fundamental group of its complement in $X…
Knotting of Algebraic Curves in CP2
Sergey Finashin
I construct "fake algebraic curves" in . More precisely, for any k>2, I construct infinitely many pairwise smoothly non-isotopic (and moreover not ambient diffeomorphic) smoo…
A Rokhlin Conjecture and Smooth Quotients by the Complex Conjugation of Singular Real Algebraic Surfaces
Sergey Finashin
The topology of the orbit space, , for the action of the complex conjugation on a complex surface, , defined over reals, is studied. I give a criterion for blow-up stable tri…