“…Magnetic reconnection is a key process for understanding magnetic structures and their topological change in astrophysical plasmas. Many investigations analyzing especially topological or geometrical properties of physical fields, focusing either on some or involving all of them, have been done in various contexts and approaches: for example resistive magnetohydrodynamics (MHD) in 2 dimensions (2D) (Priest & Cowley 1975), kinematic ideal MHD in 3D (Lau & Finn 1990), purely magnetically in 2D and 3D (Parnell et al 1996), resistive MHD in 3D with constant resistivity (Titov & Hornig 2000), resistive MHD in 3D with locally varying but prescribed resistivity (Hornig & Priest 2003;Priest & Pontin 2009), Hall-MHD in 2.5D (Litvinenko 2009), resistive, kinematic MHD in 3D with varying resistivity (Wyper & Jain 2011), and resistive MHD in 2D with localized but consistent resistivity (Nickeler et al 2012).…”