PUBLICATIONS
Preprints
- T. Kato, D. Kishimoto, and M. Tsutaya, Morse inequalities for noncompact manifolds, arXiv:2411.04463.
- D. Kishimoto and Y. Tong, The fundamental group and the magnitude-path spectral sequence of a directed graph, arXiv:2411.02838.
- D. Kishimoto and T Matsushita, On the embeddability of skeleta of manifold triangulations, arXiv:2410.17523.
- S. Hasui, D. Kishimoto, Y. Tong, and M. Tsutaya, Homotopy commutativity in quasitoric manifolds, arXiv:2404.01510.
- D. Kishimoto and T. Matsushita, Van Kampen-Flores theorem and Stiefel-Whitney classes, accepted by Proc. Amer. Math. Soc.
- D. Kishimoto, M. Takeda, and M. Tsutaya, The space of commuting elements in a Lie group and maps between classifying spaces, accepted by Proc. Roy. Soc. Edinburgh Sect. A.
- T. Kato, D. Kishimoto, and M. Tsutaya, Vector fields on non-compact manifolds, accepted by Algebr. Geom. Topol.
- D. Kishimoto and Y. Yushima, Cellular cosheaf homology are cosheaf homology, arXiv:2202.03659.
- T. Kato, D. Kishimoto, N. Nakamura, and K. Yasui, Upper bounds for virtual dimensions of Seiberg-Witten moduli spaces, arXiv:2111.15201.
Published Papers
- D. Kishimoto and Y. Minowa, A short elementary proof of Beben and Theriault's theorem on homotopy fibers, Topology Appl. 55 (2024), Paper No. 108998.
- T. Kato, D. Kishimoto, and M. Tsutaya, Hilbert bundles with ends, J. Topol. Anal. 16 (2024), no. 2, 291-322.
- D. Kishimoto and M. Takeda, Torsion in the space of commuting elements in a Lie group, Canad. J. Math. 76 (2024), no. 3, 1033-1061.
- K. Iriye and D. Kishimoto, Tight complexes are Golod, Int. Math. Res. Not. IMRN (2024), no. 8, 6471-6495.
- D. Kishimoto, Y. Minowa, T. Miyauchi, and Y. Tong, Homotopy commutativity in symmetric spaces, Bol. Soc. Mat. Mex. 30 (2024), no. 2, Paper No. 42.
- D. Kishimoto and T. Matsushita, Van Kampen-Flores theorem for cell complexes, Discrete Comput. Geom. 71 (2024), no. 3, 1081-191.
- D. Kishimoto and S. Theriault, The mod-p homology of the classifying spaces of certain gauge groups, Proc. Roy. Soc. Edinburgh Sect. A 153 (2023) no. 6, 1805-1817.
- S. Hasui, D. Kishimoto, M. Takeda, and M. Tsutaya, Tverberg's theorem for cell complexes, Bull. Lond. Math. Soc. 55 (2023), no. 4, 1944-1956.
- M. Kameko, D. Kishimoto, and M. Takeda, Homotopy types of gauge groups over Riemann surfaces, Algebr. Geom. Topol. 23 (2023), no. 5, 2309-2327.
- K. Iriye and D. Kishimoto, Golod and tight 3-manifolds, Algebr. Geom. Topol. 23 (2023), no. 5, 2191-2212.
- T. Kato, D. Kishimoto, and M. Tsutaya, Homotopy type of the space of finite propagation unitary operators on Z, Homology Homotopy Appl. 25 (2023), no. 1, 375-400.
- T. Kato, D. Kishimoto, and M. Tsutaya, Homotopy type of the unitary group of the uniform Roe algebra on Zn, J. Topol. Anal. 15 (2023), no. 2, 495–512.
- D. Kishimoto and R. Levi, Polyhedral products over finite posets, Kyoto J. Math. 62 (2022), no. 3, 615-654.
- S. Hasui, D. Kishimoto, and A. Kizu, The Stiefel-Whitney classes of moment-angle manifolds are trivial, Forum Math. 34 (2022), no. 6, 1463-1474.
- D. Kishimoto, M. Takeda, and Y. Tong, Homotopy commutativity in Hermitian symmetric spaces, Glasg. Math. J. 64 (2022), no. 3, 746-752.
- D Kishimoto, T. Matsushita, and R. Yoshise, Jacobi identity in polyhedral products, Topology Appl. 312 (2022), Paper No. 108079.
- D. Kishimoto, A. Ohsita, and M. Takeda, Note on Samelson products in exceptional Lie groups, Glasg. Math. J. 63 (2021), no. 3, 741-752.
- D. Kishimoto and T. Matsushita, Relative phantom maps and rational homotopy, Proc. Amer. Math. Soc. 149 (2021), no. 9, 4029-4040.
- D. Kishimoto, I. Membrillo-Solis, and S. Theriault, The homotopy types of SO(4)-gauge groups, Eur. J. Math. 7 (2021), no. 3, 1245-1252.
- K. Iriye and D. Kishimoto, Two-dimensional Golod complexes, Homology Homotopy Appl. 23 (2021), no. 2, 215-226.
- D. Kishimoto and M. Takeda, Spaces of commuting elements in the classical groups, Adv. Math. 386 (2021), 107809.
- D. Kishimoto and N. Oda, Monoids of self-maps of topological spherical space forms, Homology Homotopy Appl. 23 (2021), no. 2, 141-149.
- D. Kishimoto and T. Miyauchi, Higher homotopy associativity in the Harris decomposition of Lie groups, Proc. Roy. Soc. Edinburgh Sect. A. 150 (2020), no. 6, 2982-3000.
- D. Kishimoto and A. Yamaguchi, On the growth of topological complexity, J. Appl. Comput. Topol. 4 (2020), no. 4, 525-532.
- K. Iriye, D. Kishimoto, and R. Levi, Characterisation of polyhedral products with finite generalised Postnikov decomposition, Forum Math. 32 (2020), 1253-1269.
- K. Iriye and D. Kishimoto, Whitehead products in moment-angle complexes, J. Math. Soc. Japan 72 (2020), 1239-1257.
- M. Farber, D. Kishimoto, and D. Stanley, Generating functions and topological complexity, Topology Appl. 278 (2020), 107235.
- D. Kishimoto, Right-angled Coxeter quandles and polyhedral products, Proc. Amer. Math. Soc. 147 (2019), no. 9, 3715-3727.
- K. Iriye and D. Kishimoto, Fat-wedge filtration and decomposition of polyhedral products, Kyoto J. Math. 59 (2019), no. 1, 1-51.
- D. Kishimoto and A. Kono, On the homotopy types of Sp(n) gauge groups, Algebr. Geom. Topol. 19 (2019), no. 1, 491-502.
- K. Iriye, D. Kishimoto, and T. Matsushita, Relative phantom maps, Algebr. Geom. Topol. 19 (2019), no. 1, 341-362.
- S. Hasui, D. Kishimoto, T. So, and S. Theriault, Odd primary homotopy types of the gauge groups of exceptional Lie groups, Proc. Amer. Math. Soc. 147 (2019), no. 4, 1751-1762.
- S. Hasui, D. Kishimoto, and M. Tsutaya, Higher homotopy commutativity in localized Lie groups and gauge groups, Homology Homotopy Appl. 21 (2019), no. 1, 107-128.
- S. Hasui, D. Kishimoto, T. Miyauchi, and A. Ohsita, Samelson products in quasi-p-regular exceptional Lie groups, Homology Homotopy Appl. 20 (2018), no. 1, 185-208.
- K. Iriye and D. Kishimoto, Golodness and polyhedral products of simplicial complexes with minimal Taylor resolutions, Homology Homotopy Appl. 20 (2018), no. 1, 69-78.
- K. Iriye and D. Kishimoto, Golodness and polyhedral products for two-dimensional simplicial complexes, Forum Math. 30 (2018), no. 2, 527-532.
- D. Kishimoto and M. Tsutaya, Samelson products in p-regular SO(2n) and its homotopy normality, Glasg. Math. J. 60 (2018), no. 1, 165-174.
- D. Kishimoto, S. Theriault, and M. Tsutaya, The homotopy types of G2<\sub>-gauge groups, Topology Appl. 228 (2017), 92-107.
- S. Hasui and D. Kishimoto, p-local stable cohomological rigidity of quasitoric manifolds, Osaka J. Math. 54 (2017), no. 2, 343-350.
- S. Hasui, D. Kishimoto, and T. Sato, p-local stable splitting of quasitoric manifolds, Osaka J. Math. 53 (2016), no. 3, 843-854.
- S. Hasui, D. Kishimoto, A. Kono, and T. Sato, The homotopy types of PU(3)- and PSp(2)-gauge groups, Algebr. Geom. Topol.16 (2016), no. 3, 1813-1825.
- K. Iriye and D. Kishimoto, Decompositions of suspensions of spaces involving polyhedral products, Algebr. Geom. Topol.16 (2016), no. 2, 825-841.
- D. Kishimoto and M. Tsutaya, Infiniteness of A∞-types of gauge groups, J. Topol. 9 (2016), no. 1, 181-191.
- S. Hasui, D. Kishimoto, and A. Ohsita, Samelson products in p-regular exceptional Lie groups, Topology Appl. 178 (2014), 17-29.
- D. Kishimoto, A. Kono, and S. Theriault, Refined gauge group decompositions, Kyoto J. Math. 54 (2014), no. 3, 679-691.
- D. Kishimoto, A. Kono, and A. Ohsita, KO-theory of complex partial flag manifolds, Q. J. Math. 65 (2014), no. 2, 327-338.
- D. Kishimoto, A. Kono, and M. Tsutaya, On localized unstable K1-groups and applications to self-homotopy groups, Canad. Math. Bull. 57 (2014), no. 2, 344-356.
- K. Iriye and D. Kishimoto, Postnikov towers with fibers generalized Eilenberg-MacLane spaces, Homology Homotopy Appl. 16 (2014), no. 1, 139-157.
- D. Kishimoto, A. Kono, and M. Tsutaya, On p-local homotopy types of gauge groups, Proc. Roy. Soc. Edinburgh Sect. A 144 (2014), no. 1, 149-160.
- D. Kishimoto and A. Ohsita, KO-theory of exceptional flag manifolds, Kyoto J. Math. 53 (2013), no. 3, 673-692.
- K. Iriye and D. Kishimoto, Decompositions of polyhedral products for shifted complexes, Adv. Math. 245 (2013), 716-736.
- D. Kishimoto, A. Kono, and S. Theriault, Homotopy commutativity in p-localized gauge groups, Proc. Roy. Soc. Edinburgh Sect. A 143 (2013), no. 4, 851-870.
- K. Iriye and D. Kishimoto, Hom complexes and hypergraph colorings, Topology Appl. 160 (2013), no. 12, 1333-1344.
- D. Kishimoto, A. Kono, and M. Tsutaya, Mod p decompositions of gauge groups, Algebr. Geom. Topol. 13 (2013), no. 3, 1757-1778.
- Y. Hara and D. Kishimoto, Note on the cohomology of finite cyclic coverings, Topology Appl. 160 (2013), no. 9, 1061-1065.
- D. Kishimoto, A. Kono, and T. Nagao, Commutativity of localized self-homotopy groups of symplectic groups, Topology Appl. 158 (2011), no. 8, 1025-1032.
- D. Kishimoto and A. Kono, Splitting of gauge groups, Trans. Amer. Math. Soc. 362 (2010), no. 12, 6715-6731.
- D. Kishimoto and T. Nagao, Commutativity in special unitary groups at odd primes, Topology Appl. 157 (2010), no. 12, 1949-1954.
- D. Kishimoto and A. Kono, Note on mod p decompositions of gauge groups, Proc. Japan Acad. Ser. A Math. Sci. 86 (2010), no. 1, 15-17.
- D. Kishimoto and A. Kono, On the cohomology of free and twisted loop spaces, J. Pure Appl. Algebra 214 (2010), no. 5, 646-653.
- D. Kishimoto, Generating varieties, Bott periodicity and instantons, Topology Appl. 157 (2010), no. 3, 657-668.
- S. Kaji and D. Kishimoto, Homotopy nilpotency in p-regular loop spaces, Math. Z. 264 (2010), no. 1, 209-224.
- Y. Kamiyama and D. Kishimoto, Spin structures on instanton moduli spaces, Topology Appl. 157 (2010), no. 1, 35-43.
- D. Kishimoto and A. Kono, On a conjecture of Ōshima, Topology Appl. 156 (2009), no. 13, 2189-2192.
- D. Kishimoto, Homotopy nilpotency in localized SU(n), Homology Homotopy Appl. 11 (2009), no. 1, 61-79.
- D. Kishimoto and A. Kono, Mod p decompositions of non-simply connected Lie groups, J. Math. Kyoto Univ. 48 (2008), no. 1, 1-5.
- Y. Kamiyama, D. Kishimoto, A. Kono, and S. Tsukuda, Samelson products of SO(3) and applications, Glasg. Math. J. 49 (2007), no. 2, 405-409.
- D. Kishimoto, L-S category of quaternionic Stiefel manifolds, Topology Appl. 154 (2007), no. 7, 1465-1469.
- H. Hamanaka, D. Kishimoto, and A. Kono, Self homotopy groups with large nilpotency classes, Topology Appl. 153 (2006), no. 14, 2425-2429.
- D. Kishimoto, Topological proof of Bott periodicity and characterization of BR, J. Math. Soc. Japan 58 (2006), no. 2, 299-309.
- D. Kishimoto, Note on the Atiyah-Hirzebruch spectral sequence on KO-theory, Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), no. 7, 129-130.
- D. Kishimoto, Homotopy genus of BU and the Bott map, J. Math. Kyoto Univ. 44 (2004), no. 3, 675-678.
- D. Kishimoto, KO-theory of complex Stiefel manifolds, J. Math. Kyoto Univ. 44 (2004), no. 3, 669-674.
- D. Kishimoto, A. Kono, and A. Ohsita, KO-theory of flag manifolds, J. Math. Kyoto Univ. 44 (2004), no. 1, 217-227.
- D. Kishimoto, Topological characterization of extensor product on BSO, J. Math. Kyoto Univ. 42 (2002), no. 3, 423-428.
- D. Kishimoto, Topological characterization of Bott map on BU, J. Math. Kyoto Univ. 42 (2002), no. 2, 249-253.
- A. Kono and D. Kishimoto, Topological characterization of extensor product on BU, J. Math. Kyoto Univ. 42 (2002), no. 2, 243-247.
- D. Kishimoto, A topological proof of real and symplectic Bott periodicity theorem, J. Math. Kyoto Univ. 41 (2001), no. 1, 33-41.