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20022021
most citedComplete Set of Cut-and-Join Operators in Hurwitz-Kontsevich Theory

157 citations · 373 across the 31 of their papers we have counts for

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7 papers · 1 filter

math.GT2015

Double pants decompositions revisited

Anna Felikson, Sergey Natanzon

Double pants decompositions were introduced in our paper "Double pants decompositions of 2-surfaces" (Mosc. Math. J. 11 (2011), no. 2, 231-258, arXiv:1005.0073), together with a fl…

math.GT2011

Moduli via double pants decompositions

Anna Felikson, Sergey Natanzon

We consider (local) parametrizations of Teichmuller space (of genus hyperbolic surfaces with boundary components) by lengths of geodesics. We find a lar…

math.GT2010

Labeled double pants decompositions

Anna Felikson, Sergey Natanzon

A double pants decomposition of a 2-dimensional surface is a collection of two pants decomposition of this surface introduced in arXiv:1005.0073v2. There are two natural operations…

math.GT2010

Double pants decompositions of 2-surfaces

Anna Felikson, Sergey Natanzon

We consider a union of two pants decompositions of the same orientable 2-dimensional surface of any genus g. Each pants decomposition corresponds to some handlebody bounded by this…

math.GT2009★ 1 cited

Brane Topological Field Theories and Hurwitz numbers for CW-complexes

Sergey M. Natanzon

We expand Topological Field Theory on some special CW-complexes (brane complexes). This Brane Topological Field Theory one-to-one corresponds to infinite dimensional Frobenius Alge…

math.GT2008★ 6 cited

Disk single Hurwitz numbers

S. M. Natanzon

It is investigated Hurwitz numbers, that correspond to covering of disk with single non-simple boundary critical value. It is found differential equations, that describe a generati…