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We prove the additivity of Casson-Seiberg-Witten invariant integral homology $S^1 \times S^3$ under fiber sum along embedded curves and tori, which is $4$-dimensional analogue Casson connected-sum splicing knots.

This study focused on free convective MHD Casson fluid flow past a permeable vertical plate with microorganisms and Soret-Dufour mechanisms. The physical model is governed by system of partial differential equations (PDEs). set PDEs were overhaul into nonlinear ordinary equation considering acceptable similarity variable. spectral relaxation method (SRM) was utilized to obtain solution the equa...