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In differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold.
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Has Witten's perturbation on de Rham complex been studied on other elliptic complexes?
Witten already discusses deformations for other complexes including the signature complex in his first paper. He formulated Morse inequalities for the Dolbeault complex on K"ahler manifolds in a follo …