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20092019
most citedReal elements in the mapping class group of

8 citations · 25 across the 10 of their papers we have counts for

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7 papers · 1 filter

math.GT2017

Asymptotic measures and links in simplicial complexes

Nermin Salepci, Jean-Yves Welschinger

We introduce canonical measures on a locally finite simplicial complex and study their asymptotic behavior under infinitely many barycentric subdivisions. We also compute the f…

math.GT2013★ 1 cited

A real open book not fillable by a real Lefschetz fibration

Ferit Ozturk, Nermin Salepci

A real 3- or 4-manifold has by definition an orientation preserving smooth involution acting on it. We consider Lefschetz fibrations of 4-dimensional manifolds-with-boundary and op…

math.GT2012★ 1 cited

Real open books and real contact structures

Ferit Ozturk, Nermin Salepci

A real 3-manifold is a smooth 3-manifold together with an orientation preserving smooth involution, called a real structure. In this article we study open book decompositions on sm…

math.GT2011

Classification of totally real elliptic Lefschetz fibrations via necklace diagrams

Nermin Salepci

We show that totally real elliptic Lefschetz fibrations that admit a real section are classified by their "real loci" which is nothing but an -valued Morse function on the rea…

math.GT2011★ 1 cited

Invariants of real Lefschetz fibrations

Nermin Salepci

In this note we introduce certain invariants of real Lefschetz fibrations. We call these invariants {\em real Lefschetz chains}. We prove that if the fiber genus is greater than 1,…

math.GT2010★ 8 cited

Real elements in the mapping class group of

Nermin Salepci

We present a complete classification of elements in the mapping class group of the torus which have a representative that can be written as a product of two orientation reversing i…