Naoki Kitazawa

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20242026

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math.GT2024

Characterizing $3$ -dimensional manifolds represented as connected sums of Lens spaces, $S^{2} \times S^{1}$ , and torus bundles over the circle by certain Morse-Bott functions

Naoki Kitazawa

We characterize $3$ -dimensional manifolds represented as connected sums of Lens spaces, copies of $S^{2} \times S^{1}$ , and torus bundles over the circle by certain Morse-Bott function…

math.GT2024

On a classification of Morse functions on $3$ -dimensional manifolds represented as connected sums of manifolds of Heegaard genus one

Naoki Kitazawa

Morse functions are important objects and tools in understanding topologies of manifolds since the 20th century. Their classification has been natural and difficult problems, and s…

Characterizing 3-dimensional manifolds represented as connected sums of Lens spaces, S2×S1, and torus bundles over the circle by certain Morse-Bott functions

On a classification of Morse functions on 3-dimensional manifolds represented as connected sums of manifolds of Heegaard genus one

Characterizing $3$ -dimensional manifolds represented as connected sums of Lens spaces, $S^{2} \times S^{1}$ , and torus bundles over the circle by certain Morse-Bott functions

On a classification of Morse functions on $3$ -dimensional manifolds represented as connected sums of manifolds of Heegaard genus one