DAISUKE KISHIMOTO

About Publications Talks Conferences CV

PUBLICATIONS

Preprints

  1. T. Kato, D. Kishimoto, and M. Tsutaya, Morse inequalities for noncompact manifolds, arXiv:2411.04463.
  2. D. Kishimoto and Y. Tong, The fundamental group and the magnitude-path spectral sequence of a directed graph, arXiv:2411.02838.
  3. D. Kishimoto and T Matsushita, On the embeddability of skeleta of manifold triangulations, arXiv:2410.17523.
  4. S. Hasui, D. Kishimoto, Y. Tong, and M. Tsutaya, Homotopy commutativity in quasitoric manifolds, arXiv:2404.01510.
  5. D. Kishimoto and T. Matsushita, Van Kampen-Flores theorem and Stiefel-Whitney classes, accepted by Proc. Amer. Math. Soc.
  6. 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.
  7. D. Kishimoto and Y. Yushima, Cellular cosheaf homology are cosheaf homology, arXiv:2202.03659.
  8. T. Kato, D. Kishimoto, N. Nakamura, and K. Yasui, Upper bounds for virtual dimensions of Seiberg-Witten moduli spaces, arXiv:2111.15201.

Published Papers

  1. T. Kato, D. Kishimoto, and M. Tsutaya, Vector fields on non-compact manifolds, Algebr. Geom. Topol. 24 (2024), no. 7, 3985-3996.
  2. 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.
  3. T. Kato, D. Kishimoto, and M. Tsutaya, Hilbert bundles with ends, J. Topol. Anal. 16 (2024), no. 2, 291-322.
  4. 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.
  5. K. Iriye and D. Kishimoto, Tight complexes are Golod, Int. Math. Res. Not. IMRN (2024), no. 8, 6471-6495.
  6. 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.
  7. D. Kishimoto and T. Matsushita, Van Kampen-Flores theorem for cell complexes, Discrete Comput. Geom. 71 (2024), no. 3, 1081-191.
  8. 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.
  9. 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.
  10. M. Kameko, D. Kishimoto, and M. Takeda, Homotopy types of gauge groups over Riemann surfaces, Algebr. Geom. Topol. 23 (2023), no. 5, 2309-2327.
  11. K. Iriye and D. Kishimoto, Golod and tight 3-manifolds, Algebr. Geom. Topol. 23 (2023), no. 5, 2191-2212.
  12. 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.
  13. 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.
  14. D. Kishimoto and R. Levi, Polyhedral products over finite posets, Kyoto J. Math. 62 (2022), no. 3, 615-654.
  15. 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.
  16. D. Kishimoto, M. Takeda, and Y. Tong, Homotopy commutativity in Hermitian symmetric spaces, Glasg. Math. J. 64 (2022), no. 3, 746-752.
  17. D Kishimoto, T. Matsushita, and R. Yoshise, Jacobi identity in polyhedral products, Topology Appl. 312 (2022), Paper No. 108079.
  18. D. Kishimoto, A. Ohsita, and M. Takeda, Note on Samelson products in exceptional Lie groups, Glasg. Math. J. 63 (2021), no. 3, 741-752.
  19. D. Kishimoto and T. Matsushita, Relative phantom maps and rational homotopy, Proc. Amer. Math. Soc. 149 (2021), no. 9, 4029-4040.
  20. 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.
  21. K. Iriye and D. Kishimoto, Two-dimensional Golod complexes, Homology Homotopy Appl. 23 (2021), no. 2, 215-226.
  22. D. Kishimoto and M. Takeda, Spaces of commuting elements in the classical groups, Adv. Math. 386 (2021), 107809.
  23. D. Kishimoto and N. Oda, Monoids of self-maps of topological spherical space forms, Homology Homotopy Appl. 23 (2021), no. 2, 141-149.
  24. 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.
  25. D. Kishimoto and A. Yamaguchi, On the growth of topological complexity, J. Appl. Comput. Topol. 4 (2020), no. 4, 525-532.
  26. K. Iriye, D. Kishimoto, and R. Levi, Characterisation of polyhedral products with finite generalised Postnikov decomposition, Forum Math. 32 (2020), 1253-1269.
  27. K. Iriye and D. Kishimoto, Whitehead products in moment-angle complexes, J. Math. Soc. Japan 72 (2020), 1239-1257.
  28. M. Farber, D. Kishimoto, and D. Stanley, Generating functions and topological complexity, Topology Appl. 278 (2020), 107235.
  29. D. Kishimoto, Right-angled Coxeter quandles and polyhedral products, Proc. Amer. Math. Soc. 147 (2019), no. 9, 3715-3727.
  30. K. Iriye and D. Kishimoto, Fat-wedge filtration and decomposition of polyhedral products, Kyoto J. Math. 59 (2019), no. 1, 1-51.
  31. D. Kishimoto and A. Kono, On the homotopy types of Sp(n) gauge groups, Algebr. Geom. Topol. 19 (2019), no. 1, 491-502.
  32. K. Iriye, D. Kishimoto, and T. Matsushita, Relative phantom maps, Algebr. Geom. Topol. 19 (2019), no. 1, 341-362.
  33. 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.
  34. 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.
  35. 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.
  36. 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.
  37. K. Iriye and D. Kishimoto, Golodness and polyhedral products for two-dimensional simplicial complexes, Forum Math. 30 (2018), no. 2, 527-532.
  38. 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.
  39. D. Kishimoto, S. Theriault, and M. Tsutaya, The homotopy types of G2<\sub>-gauge groups, Topology Appl. 228 (2017), 92-107.
  40. S. Hasui and D. Kishimoto, p-local stable cohomological rigidity of quasitoric manifolds, Osaka J. Math. 54 (2017), no. 2, 343-350.
  41. S. Hasui, D. Kishimoto, and T. Sato, p-local stable splitting of quasitoric manifolds, Osaka J. Math. 53 (2016), no. 3, 843-854.
  42. 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.
  43. K. Iriye and D. Kishimoto, Decompositions of suspensions of spaces involving polyhedral products, Algebr. Geom. Topol.16 (2016), no. 2, 825-841.
  44. D. Kishimoto and M. Tsutaya, Infiniteness of A∞-types of gauge groups, J. Topol. 9 (2016), no. 1, 181-191.
  45. S. Hasui, D. Kishimoto, and A. Ohsita, Samelson products in p-regular exceptional Lie groups, Topology Appl. 178 (2014), 17-29.
  46. D. Kishimoto, A. Kono, and S. Theriault, Refined gauge group decompositions, Kyoto J. Math. 54 (2014), no. 3, 679-691.
  47. D. Kishimoto, A. Kono, and A. Ohsita, KO-theory of complex partial flag manifolds, Q. J. Math. 65 (2014), no. 2, 327-338.
  48. 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.
  49. K. Iriye and D. Kishimoto, Postnikov towers with fibers generalized Eilenberg-MacLane spaces, Homology Homotopy Appl. 16 (2014), no. 1, 139-157.
  50. 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.
  51. D. Kishimoto and A. Ohsita, KO-theory of exceptional flag manifolds, Kyoto J. Math. 53 (2013), no. 3, 673-692.
  52. K. Iriye and D. Kishimoto, Decompositions of polyhedral products for shifted complexes, Adv. Math. 245 (2013), 716-736.
  53. 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.
  54. K. Iriye and D. Kishimoto, Hom complexes and hypergraph colorings, Topology Appl. 160 (2013), no. 12, 1333-1344.
  55. D. Kishimoto, A. Kono, and M. Tsutaya, Mod p decompositions of gauge groups, Algebr. Geom. Topol. 13 (2013), no. 3, 1757-1778.
  56. Y. Hara and D. Kishimoto, Note on the cohomology of finite cyclic coverings, Topology Appl. 160 (2013), no. 9, 1061-1065.
  57. D. Kishimoto, A. Kono, and T. Nagao, Commutativity of localized self-homotopy groups of symplectic groups, Topology Appl. 158 (2011), no. 8, 1025-1032.
  58. D. Kishimoto and A. Kono, Splitting of gauge groups, Trans. Amer. Math. Soc. 362 (2010), no. 12, 6715-6731.
  59. D. Kishimoto and T. Nagao, Commutativity in special unitary groups at odd primes, Topology Appl. 157 (2010), no. 12, 1949-1954.
  60. 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.
  61. D. Kishimoto and A. Kono, On the cohomology of free and twisted loop spaces, J. Pure Appl. Algebra 214 (2010), no. 5, 646-653.
  62. D. Kishimoto, Generating varieties, Bott periodicity and instantons, Topology Appl. 157 (2010), no. 3, 657-668.
  63. S. Kaji and D. Kishimoto, Homotopy nilpotency in p-regular loop spaces, Math. Z. 264 (2010), no. 1, 209-224.
  64. Y. Kamiyama and D. Kishimoto, Spin structures on instanton moduli spaces, Topology Appl. 157 (2010), no. 1, 35-43.
  65. D. Kishimoto and A. Kono, On a conjecture of Ōshima, Topology Appl. 156 (2009), no. 13, 2189-2192.
  66. D. Kishimoto, Homotopy nilpotency in localized SU(n), Homology Homotopy Appl. 11 (2009), no. 1, 61-79.
  67. D. Kishimoto and A. Kono, Mod p decompositions of non-simply connected Lie groups, J. Math. Kyoto Univ. 48 (2008), no. 1, 1-5.
  68. 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.
  69. D. Kishimoto, L-S category of quaternionic Stiefel manifolds, Topology Appl. 154 (2007), no. 7, 1465-1469.
  70. H. Hamanaka, D. Kishimoto, and A. Kono, Self homotopy groups with large nilpotency classes, Topology Appl. 153 (2006), no. 14, 2425-2429.
  71. D. Kishimoto, Topological proof of Bott periodicity and characterization of BR, J. Math. Soc. Japan 58 (2006), no. 2, 299-309.
  72. 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.
  73. D. Kishimoto, Homotopy genus of BU and the Bott map, J. Math. Kyoto Univ. 44 (2004), no. 3, 675-678.
  74. D. Kishimoto, KO-theory of complex Stiefel manifolds, J. Math. Kyoto Univ. 44 (2004), no. 3, 669-674.
  75. D. Kishimoto, A. Kono, and A. Ohsita, KO-theory of flag manifolds, J. Math. Kyoto Univ. 44 (2004), no. 1, 217-227.
  76. D. Kishimoto, Topological characterization of extensor product on BSO, J. Math. Kyoto Univ. 42 (2002), no. 3, 423-428.
  77. D. Kishimoto, Topological characterization of Bott map on BU, J. Math. Kyoto Univ. 42 (2002), no. 2, 249-253.
  78. A. Kono and D. Kishimoto, Topological characterization of extensor product on BU, J. Math. Kyoto Univ. 42 (2002), no. 2, 243-247.
  79. D. Kishimoto, A topological proof of real and symplectic Bott periodicity theorem, J. Math. Kyoto Univ. 41 (2001), no. 1, 33-41.