Edit Profile (opens in new tab) Shimomura, Katsumi Co-Author Distance Author ID: shimomura.katsumi Published as: Shimomura, Katsumi Documents Indexed: 65 Publications since 1978, including 2 Additional arXiv Preprints Reviewing Activity: 78 Reviews Co-Authors: 32 Co-Authors with 45 Joint Publications 181 Co-Co-Authors all top 5 Co-Authors 20 single-authored 10 Ichigi, Ippei 6 Kato, Ryo 4 Kamiya, Yousuke 3 Okajima, Hiroki 3 Wang, Xiangjun 2 Arita, Yoshiko 2 Yabe, Atsuko 1 Belmont, Eva 1 Fujii, Kenso 1 Hikida, Mizuho 1 Inoue, Hiromi 1 Kawamoto, You-na 1 Kitahama, Rié 1 Kobayashi, Teiichi 1 Mabuchi, Miho 1 Mahowald, Mark Edward 1 Masamoto, Keiko 1 Matsuhisa, Tsuyoshi 1 Nakai, Hirofumi 1 Nakazawa, Yoshitaka 1 Oka, Shichirô 1 Osakada, Yoshiko 1 Otsubo, Reiko 1 Shimomura, Mao-No-Suke 1 Sugawara, Masahiro 1 Takeda, Rinko 1 Tamura, Hidetaka 1 Tatehara, Yutaro 1 Tokashiki, Shingo 1 Yokotani, Masaaki 1 Yoshizawa, Kié 1 Yosimura, Zen-ichi all top 5 Serials 19 Hiroshima Mathematical Journal 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Mathematical Journal of Okayama University 3 Proceedings of the American Mathematical Society 3 Algebraic & Geometric Topology 2 Journal of the Mathematical Society of Japan 2 Topology 2 Transactions of the American Mathematical Society 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Kochi Journal of Mathematics 1 Fundamenta Mathematicae 1 Journal of Mathematics of Kyoto University 1 Kodai Mathematical Journal 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Topology and its Applications 1 Forum Mathematicum 1 Memoirs of the Faculty of Science. Series A. Mathematics 1 Homology, Homotopy and Applications 1 JP Journal of Geometry and Topology 1 Cubo 1 Asian-European Journal of Mathematics Fields 63 Algebraic topology (55-XX) 2 Group theory and generalizations (20-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 128 times in 54 Documents Cited by ▼ Year ▼ The homotopy groups \(\pi_ * (L_ 2 S^ 0)\). Zbl 0832.55011 Shimomura, Katsumi; Yabe, Atsuko 18 1995 The homotopy groups \(\pi_*(L_2 S^0)\) at the prime 3. Zbl 1007.55007 Shimomura, Katsumi; Wang, Xiangjun 11 2002 The homotopy groups of the \(L_2\)-localized mod 3 Moore spectrum. Zbl 0946.55006 Shimomura, Katsumi 9 2000 The homotopy groups of the \(L_ 2\)-localized Toda-Smith spectrum \(V(1)\) at the prime 3. Zbl 0869.55012 Shimomura, Katsumi 9 1997 The Adams-Novikov \(E_2\)-term for \(\pi_*(L_2S^0)\) at the prime 2. Zbl 1012.55021 Shimomura, Katsumi; Wang, Xiangjun 7 2002 Novikov’s \(Ext^ 2\) at the prime 2. Zbl 0485.55013 Shimomura, Katsumi 5 1981 On products of the beta-elements in the stable homotopy of spheres. Zbl 0515.55010 Oka, Shichiro; Shimomura, Katsumi 5 1982 The homotopy groups \(\pi_*(L_2V(0) \wedge T(k))\). Zbl 1004.55007 Kamiya, Yousuke; Shimomura, Katsumi 5 2001 On the Adams-Novikov spectral sequence and products of \(\beta\)-elements. Zbl 0605.55013 Shimomura, Katsumi 4 1986 A relation between the Picard group of the \(E(n)\)-local homotopy category and \(E(n)\)-based Adams spectral sequence. Zbl 1097.55007 Kamiya, Yousuke; Shimomura, Katsumi 4 2004 Picard groups of some local categories. Zbl 1136.55009 Kamiya, Yousuke; Shimomura, Katsumi 3 2007 The Adams-Novikov \(E_2\)-term for computing \(\pi_*(L_2 V(0))\) at the prime 2. Zbl 0931.55009 Shimomura, Katsumi 3 1999 The homotopy groups of the \(L_ 2\)-localized Mahowald spectrum \(X\langle 1\rangle\). Zbl 0835.55009 Shimomura, Katsumi 3 1995 Note on beta elements in homotopy, and an application to the prime three case. Zbl 1207.55013 Shimomura, Katsumi 3 2010 Products of Greek letter elements dug up from the third Morava stabilizer algebra. Zbl 1245.55005 Kato, Ryo; Shimomura, Katsumi 3 2012 Non-triviality of some compositions of \(\beta\)-elements in the stable homotopy of the Moore spaces. Zbl 0606.55009 Shimomura, Katsumi; Tamura, Hidetaka 3 1986 KO-groups of lens spaces modulo powers of two. Zbl 0399.55012 Fujii, Kenso; Kobayashi, Teiichi; Shimomura, Katsumi; Sugawara, Masahiro 3 1978 The homotopy groups \(\pi_*(L_nT(m)\wedge V(n-2))\). Zbl 1012.55020 Shimomura, Katsumi 3 2002 BP-Hopf module spectrum and \(BP_ *\)-Adams spectral sequence. Zbl 0636.55003 Shimomura, Katsumi; Yosimura, Zen-ichi 2 1986 On the action of \(\beta_1\) in the stable homotopy of spheres at the prime 3. Zbl 0997.55017 Shimomura, Katsumi 2 2000 \(E(2)\)-invertible spectra smashing with the Smith-Toda spectrum \(V(1)\) at the prime \(3\). Zbl 1051.55007 Ichigi, Ippei; Shimomura, Katsumi 2 2004 On the chromatic \(E_ 1\)-term \(H^*M_ 0^ 2\). Zbl 0810.55010 Shimomura, Katsumi; Yabe, Atsuko 2 1994 The beta elements \(\beta_{tp^2/r}\) in the homotopy of spheres. Zbl 1223.55007 Shimomura, Katsumi 2 2010 Non-triviality of some products of \(\beta\)-elements in the stable homotopy of spheres. Zbl 0642.55008 Shimomura, Katsumi 1 1987 The chromatic \(E_1\)-term \(\text{Ext}^0 (v_3^{-1} BP_* / (3, v_1, v_2^{\infty}) [t_1])\). Zbl 0946.55013 Ichigi, Ippei; Shimomura, Katsumi 1 2000 On some products of \(\beta\)-elements in the homotopy of the Moore spectrum. II. Zbl 0862.55009 Inoue, Hiromi; Osakada, Yoshiko; Shimomura, Katsumi 1 1994 \(E_*\)-homology spheres for a connective spectrum \(E\). Zbl 1026.55015 Kamiya, Yousuke; Shimomura, Katsumi 1 2002 On subgroups of \(\pi_*(L_2T(1)\wedge M(2))\) at the prime two. Zbl 1175.55011 Ichigi, Ippei; Shimomura, Katsumi; Wang, Xiangjun 1 2007 Triviality of products of \(\beta\)-elements in the stable homotopy group of spheres. Zbl 0698.55012 Shimomura, Katsumi 1 1989 On the products \(\beta_ s\beta_ t\) in the stable homotopy groups of spheres. Zbl 0713.55008 Shimomura, Katsumi 1 1989 The chromatic \(E_ 1\)-term \(H^ 1M_ 1^ 1\) at the prime 3. Zbl 0869.55010 Arita, Yoshiko; Shimomura, Katsumi 1 1996 The Adams-Novikov spectral sequence for the \(L_ 2\) localization of a \(v_ 2\) spectrum. Zbl 0791.55005 Mahowald, Mark; Shimomura, Katsumi 1 1993 Existence of the Greek letter elements in the stable homotopy groups of \(E(n)_ *\)-localized spheres. Zbl 0824.55002 Shimomura, Katsumi; Yokotani, Masaaki 1 1994 On some products of \(\beta\)-elements in the homotopy of the Moore spectrum. Zbl 0861.55025 Mabuchi, Miho; Shimomura, Katsumi 1 1992 On the product \({\alpha}_1, {\beta}^r_1, {\gamma}_t\) in the stable homotopy groups of spheres. Zbl 1300.55017 Shimomura, Katsumi; Yoshizawa, Kié 1 2014 A beta family in the homotopy of spheres. Zbl 1310.55008 Shimomura, Katsumi 1 2014 Generalized Bousfield lattices and a generalized retract conjecture. Zbl 1305.55006 Kato, Ryo; Shimomura, Katsumi; Tatehara, Yutaro 1 2014 A note on Hopkins’ Picard groups of the stable homotopy categories of \(L_n\)-local spectra. Zbl 1442.55009 Shimomura, Katsumi 1 2020 A note on the products \(\alpha_1\beta_2\gamma_t\) and \(\beta_1^{r+1}\beta_2\gamma_t\) in the stable homotopy of spheres. Zbl 1509.55009 Okajima, Hiroki; Shimomura, Katsumi 1 2019 On the homotopy groups of \(E(n)\)-local spectra with unusual invariant ideals. Zbl 1258.55009 Nakai, Hirofumi; Shimomura, Katsumi 1 2007 A note on Hopkins’ Picard groups of the stable homotopy categories of \(L_n\)-local spectra. Zbl 1442.55009 Shimomura, Katsumi 1 2020 A note on the products \(\alpha_1\beta_2\gamma_t\) and \(\beta_1^{r+1}\beta_2\gamma_t\) in the stable homotopy of spheres. Zbl 1509.55009 Okajima, Hiroki; Shimomura, Katsumi 1 2019 On the product \({\alpha}_1, {\beta}^r_1, {\gamma}_t\) in the stable homotopy groups of spheres. Zbl 1300.55017 Shimomura, Katsumi; Yoshizawa, Kié 1 2014 A beta family in the homotopy of spheres. Zbl 1310.55008 Shimomura, Katsumi 1 2014 Generalized Bousfield lattices and a generalized retract conjecture. Zbl 1305.55006 Kato, Ryo; Shimomura, Katsumi; Tatehara, Yutaro 1 2014 Products of Greek letter elements dug up from the third Morava stabilizer algebra. Zbl 1245.55005 Kato, Ryo; Shimomura, Katsumi 3 2012 Note on beta elements in homotopy, and an application to the prime three case. Zbl 1207.55013 Shimomura, Katsumi 3 2010 The beta elements \(\beta_{tp^2/r}\) in the homotopy of spheres. Zbl 1223.55007 Shimomura, Katsumi 2 2010 Picard groups of some local categories. Zbl 1136.55009 Kamiya, Yousuke; Shimomura, Katsumi 3 2007 On subgroups of \(\pi_*(L_2T(1)\wedge M(2))\) at the prime two. Zbl 1175.55011 Ichigi, Ippei; Shimomura, Katsumi; Wang, Xiangjun 1 2007 On the homotopy groups of \(E(n)\)-local spectra with unusual invariant ideals. Zbl 1258.55009 Nakai, Hirofumi; Shimomura, Katsumi 1 2007 A relation between the Picard group of the \(E(n)\)-local homotopy category and \(E(n)\)-based Adams spectral sequence. Zbl 1097.55007 Kamiya, Yousuke; Shimomura, Katsumi 4 2004 \(E(2)\)-invertible spectra smashing with the Smith-Toda spectrum \(V(1)\) at the prime \(3\). Zbl 1051.55007 Ichigi, Ippei; Shimomura, Katsumi 2 2004 The homotopy groups \(\pi_*(L_2 S^0)\) at the prime 3. Zbl 1007.55007 Shimomura, Katsumi; Wang, Xiangjun 11 2002 The Adams-Novikov \(E_2\)-term for \(\pi_*(L_2S^0)\) at the prime 2. Zbl 1012.55021 Shimomura, Katsumi; Wang, Xiangjun 7 2002 The homotopy groups \(\pi_*(L_nT(m)\wedge V(n-2))\). Zbl 1012.55020 Shimomura, Katsumi 3 2002 \(E_*\)-homology spheres for a connective spectrum \(E\). Zbl 1026.55015 Kamiya, Yousuke; Shimomura, Katsumi 1 2002 The homotopy groups \(\pi_*(L_2V(0) \wedge T(k))\). Zbl 1004.55007 Kamiya, Yousuke; Shimomura, Katsumi 5 2001 The homotopy groups of the \(L_2\)-localized mod 3 Moore spectrum. Zbl 0946.55006 Shimomura, Katsumi 9 2000 On the action of \(\beta_1\) in the stable homotopy of spheres at the prime 3. Zbl 0997.55017 Shimomura, Katsumi 2 2000 The chromatic \(E_1\)-term \(\text{Ext}^0 (v_3^{-1} BP_* / (3, v_1, v_2^{\infty}) [t_1])\). Zbl 0946.55013 Ichigi, Ippei; Shimomura, Katsumi 1 2000 The Adams-Novikov \(E_2\)-term for computing \(\pi_*(L_2 V(0))\) at the prime 2. Zbl 0931.55009 Shimomura, Katsumi 3 1999 The homotopy groups of the \(L_ 2\)-localized Toda-Smith spectrum \(V(1)\) at the prime 3. Zbl 0869.55012 Shimomura, Katsumi 9 1997 The chromatic \(E_ 1\)-term \(H^ 1M_ 1^ 1\) at the prime 3. Zbl 0869.55010 Arita, Yoshiko; Shimomura, Katsumi 1 1996 The homotopy groups \(\pi_ * (L_ 2 S^ 0)\). Zbl 0832.55011 Shimomura, Katsumi; Yabe, Atsuko 18 1995 The homotopy groups of the \(L_ 2\)-localized Mahowald spectrum \(X\langle 1\rangle\). Zbl 0835.55009 Shimomura, Katsumi 3 1995 On the chromatic \(E_ 1\)-term \(H^*M_ 0^ 2\). Zbl 0810.55010 Shimomura, Katsumi; Yabe, Atsuko 2 1994 On some products of \(\beta\)-elements in the homotopy of the Moore spectrum. II. Zbl 0862.55009 Inoue, Hiromi; Osakada, Yoshiko; Shimomura, Katsumi 1 1994 Existence of the Greek letter elements in the stable homotopy groups of \(E(n)_ *\)-localized spheres. Zbl 0824.55002 Shimomura, Katsumi; Yokotani, Masaaki 1 1994 The Adams-Novikov spectral sequence for the \(L_ 2\) localization of a \(v_ 2\) spectrum. Zbl 0791.55005 Mahowald, Mark; Shimomura, Katsumi 1 1993 On some products of \(\beta\)-elements in the homotopy of the Moore spectrum. Zbl 0861.55025 Mabuchi, Miho; Shimomura, Katsumi 1 1992 Triviality of products of \(\beta\)-elements in the stable homotopy group of spheres. Zbl 0698.55012 Shimomura, Katsumi 1 1989 On the products \(\beta_ s\beta_ t\) in the stable homotopy groups of spheres. Zbl 0713.55008 Shimomura, Katsumi 1 1989 Non-triviality of some products of \(\beta\)-elements in the stable homotopy of spheres. Zbl 0642.55008 Shimomura, Katsumi 1 1987 On the Adams-Novikov spectral sequence and products of \(\beta\)-elements. Zbl 0605.55013 Shimomura, Katsumi 4 1986 Non-triviality of some compositions of \(\beta\)-elements in the stable homotopy of the Moore spaces. Zbl 0606.55009 Shimomura, Katsumi; Tamura, Hidetaka 3 1986 BP-Hopf module spectrum and \(BP_ *\)-Adams spectral sequence. Zbl 0636.55003 Shimomura, Katsumi; Yosimura, Zen-ichi 2 1986 On products of the beta-elements in the stable homotopy of spheres. Zbl 0515.55010 Oka, Shichiro; Shimomura, Katsumi 5 1982 Novikov’s \(Ext^ 2\) at the prime 2. Zbl 0485.55013 Shimomura, Katsumi 5 1981 KO-groups of lens spaces modulo powers of two. Zbl 0399.55012 Fujii, Kenso; Kobayashi, Teiichi; Shimomura, Katsumi; Sugawara, Masahiro 3 1978 all cited Publications top 5 cited Publications all top 5 Cited by 52 Authors 11 Shimomura, Katsumi 6 Henn, Hans-Werner 5 Beaudry, Agnès 5 Wang, Xiangjun 4 Kato, Ryo 4 Liu, Xiugui 3 Goerss, Paul G. 3 Heard, Drew 3 Ravenel, Douglas C. 2 Behrens, Mark Joseph 2 Gilkey, Peter B. 2 Hill, Michael A. 2 Hong, Jianguo 2 Hopkins, Michael Jerome 2 Ichigi, Ippei 2 Mahowald, Mark Edward 2 Nakai, Hirofumi 1 Angelini-Knoll, Gabriel 1 Bai, Jianxia 1 Baker, Andrew J. 1 Barthel, Tobias 1 Belmont, Eva 1 Cappell, Sylvain E. 1 Culver, Dominic Leon 1 Devinatz, Ethan S. 1 Downey, Naiche 1 Gu, Xing 1 Imaoka, Mitsunori 1 Isaksen, Daniel C. 1 Karamanov, Nasko 1 Karoubi, Max 1 Kitahama, Rié 1 Kohlhaase, Jan 1 Larson, Donald Matthew 1 Laures, Gerd 1 Liu, Jiayi 1 McCranie, Connor 1 Meszar, Luke 1 Otsubo, Reiko 1 Pham, Viet-Cuong 1 Rezk, Charles 1 Riddle, Andy 1 Rock, Peter 1 Shaneson, Julius L. 1 Shi, Xiaolin Danny 1 Stojanoska, Vesna 1 Wang, Guozhen 1 Wu, Jianqiu 1 Xu, Zhouli 1 Yokotani, Masaaki 1 Yuan, Zihong 1 Zheng, Da all top 5 Cited in 25 Serials 6 Proceedings of the American Mathematical Society 6 Topology and its Applications 6 Algebraic & Geometric Topology 4 Advances in Mathematics 4 Transactions of the American Mathematical Society 2 Compositio Mathematica 2 Hiroshima Mathematical Journal 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Geometry & Topology 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Kodai Mathematical Journal 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Forum Mathematicum 1 Annals of Mathematics. Second Series 1 Journal of Homotopy and Related Structures 1 Journal of Topology 1 Journal of \(K\)-Theory 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics all top 5 Cited in 11 Fields 50 Algebraic topology (55-XX) 6 Manifolds and cell complexes (57-XX) 5 Algebraic geometry (14-XX) 3 Number theory (11-XX) 2 \(K\)-theory (19-XX) 2 Group theory and generalizations (20-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year