Takahiro Matsushita
- Dominance complexes, neighborhood complexes and combinatorial Alexander duals
2023/12/05 by Takahiro Matsushita, Shun Wakatsuki, Matsushita, Takahiro +1 · 4 citations
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis
- Survey on invariant quasimorphisms and stable mixed commutator length
2022/12/21 by Morimichi Kawasaki, Mitsuaki Kimura, Kawasaki, Morimichi +7 · 2 citations
Mathematics · #20E36 #20F12 #70H15 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Group Theory (math.GR) #Primary 20F65 #Secondary 20J06 #Symplectic Geometry (math.SG)
- Matching complexes of small grids
2018/12/28 by Takahiro Matsushita, Matsushita, Takahiro · 1 citation
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Advanced Combinatorial Mathematics #Digital Image Processing Techniques
- Bavard's duality theorem for mixed commutator length
2020/07/05 by Morimichi Kawasaki, Kawasaki, Morimichi, Mitsuaki Kimura +5 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR)
- Dominance complexes and vertex cover numbers of graphs
2020/09/09 by Takahiro Matsushita, Matsushita, Takahiro · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Topological and Geometric Data Analysis
- Non-extendablity of Shelukhin's quasimorphism and non-triviality of Reznikov's class
2025/03/12 by Morimichi Kawasaki, Mitsuaki Kimura, Kawasaki, Morimichi +7 · 1 citation
Mathematics · #Analytic and geometric function theory #Differential Equations and Boundary Problems #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Symplectic Geometry (math.SG)