Abstract
The main purpose of this thesis is to prove the Lawson Suspension Theorem with new techniques appeared after the original paper of Lawson's. The author gives an introduction to Chow forms, Chow varieties, and the cycle groups associated to projective varieties. Based on analysis on the Chow forms of the suspension of projective varieties, the author proves the "Lawson's holomorphic taffy" along the line of Teh's; combining the arguments of Lawson and Plumer, the author proves the "Lawson's magic fan". The beautiful geometric measure theoretic arguments by Lawson's are replaced by algebro-geometric methods, and the homotopical group completions of topological monoids are replaced by naive group completions with weak topology.