20 citations · 81 across the 10 of their papers we have counts for
10 papers
Manin triples associated to -Lie bialgebras
Ying Chen, Chuangchuang Kang, Jiafeng Lü +1
In this paper, we study the Manin triples associated to -Lie bialgebras. We introduce the concept of operad matrices for -Lie bialgebras. In particular, by studying a special…
Fibrations of tamely composable maps
Ying Chen, Cezar Joiţa, Mihai Tibăr
We study composed map germs with respect to their local fibrations. Under most general conditions, inspired by the tameness condition that was introduced recently, we prove the exi…
On singular maps with local fibration
Ying Chen, Mihai Tibăr
We discuss the most general condition under which a singular local tube fibration exists. We give an application to composition of map germs.
Fibrations structure and degree formulae for Milnor fibers
Nicolas Dutertre, Raimundo N. Araújo Dos Santos, Ying Chen +1
In this survey, we remind some fibrations structure theorems (also called Milnor's fibrations) recently proved in the real and complex case, in the local and global settings. We gi…
Real polynomial maps and singular open books at infinity
Raimundo N. Araújo dos Santos, Ying Chen, Mihai Tibar
We provide significant conditions under which we prove the existence of stable open book structures at infinity, i.e. on spheres of large enough radius . We obtain n…
Invertible polynomial mappings via Newton non-degeneracy
Ying Chen, L. R. G. Dias, Kiyoshi Takeuchi +1
We prove a sufficient condition for the Jacobian problem in the setting of real, complex and mixed polynomial mappings. This follows from the study of the bifurcation locus of a ma…
Milnor fibration at infinity for mixed polynomials
Ying Chen
We study the existence of Milnor fibration on a big enough sphere at infinity for a mixed polynomial $f: \bR^{2n} \to \bR^2$. By using strong non-degeneracy condition, we prove a c…
On Newton non-degeneracy of polynomial mappings
Y. Chen, L. R. G. Dias, M. Tibar
We introduce a new non-degeneracy condition at infinity for a real or a mixed polynomial mapping which allows us to approximate its bifurcation locus in terms of certain Newton…
Bifurcation values and monodromy of mixed polynomials
Ying Chen, Mihai Tibar
We study the bifurcation values of real polynomial maps $f: \bR^{2n} \to \bR^2$ which reflect the lack of asymptotic regularity at infinity. We formulate real counterparts of some…
Singular open book structures from real mappings
Mihai Tibar, Ying Chen, Raimundo N. Araújo dos Santos
We prove extensions of Milnor's theorem for germs with nonisolated singularity and use them to find new classes of genuine real analytic mappings with positive dimensional sing…