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math.AT2026
Morse-Bott inequalities on Lefschetz complexes
Yuto Nishikawa
We develop a discrete Morse-Bott theory for Lefschetz complexes with real-valued incidence functions and finitely many cells in each dimension. Our main result is a reduction proce…
math.AT2025
On Discrete Morse-Bott Theory
Yuto Nishikawa, Tomoo Yokoyama
This paper shows that discrete Morse-Bott theory can be developed as a natural extension of R. Forman's discrete Morse theory by improving the definition of the discrete Morse-Bott…