31 citations · 75 across the 31 of their papers we have counts for
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Recognising conjugacy classes of Dehn twists on via Dynnikov coordinates
Ferihe Atalan, Sergey Finashin
We describe in terms of Dynnikov coordinates the three orbits of the pure mapping class group action on the set of essential curves in a 3-punctured disc . For any ess…
A glimpse into Rokhlin's Signature Divisibility Theorem
Sergey Finashin, Viatcheslav Kharlamov
This paper was conceived as an addendum to the note "Rokhlin's signature theorems" (by O.Viro and the authors of this paper). In the main section we give an overview of Rokhlin's p…
Exotic embeddings of $#6\Bbb R\roman{P}^2$ in the 4-sphere
Sergey Finashin
We present an infinite sequence of smooth embeddings of a connected sum of 6 projective planes in the 4-sphere, which are all ambient homeomorphic, but pairwise ambient non-diffeom…
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…