Abstract
In this paper, we study the new topological structures in Skyrme model. Besides the baryon topology $\pi_3(S_3)$,monopole topology $\pi_2(S^2)$ and shell topology (radial number) $\pi_1(S^1)$ are also investigated.Skyrme model is an effective model of quantum choromodynamics (QCD) at low energy,which could be understood from QCD lagrangian with Duan-Ge-Cho decomposition theory.With this and the the monopole topology in QCD, we discuss the decomposition of baryon topology in standard Skyrme model and Bogomolnyi-Prasad-Sommerfield (BPS) Skyrme model.New BPS skyrmion solutions are shown with different monopole topology and shell topology.
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