Papers of Toshiyuki Akita


Research Papers

[18] (with Ye Liu) Vanishing ranges for the mod $p$ cohomology of alternating subgroups of Coxeter groups, J. Algebra, 473 (2017), 132-141.

[17] A vanishing theorem for the $p$-local homology of Coxeter groups, Bull. London. Math. Soc. 48 (2016), 945-956.

[16] Periodicity for Mumford-Morita-Miller classes of surface symmetries, Publ. Res. Inst. Math. Sci. 47 (2011), 897-909.

[15] On mod $p$ Riemann-Roch formulae for mapping class groups, Advanced Studies in Pure Math. 52 (2008), 111-118.

[14] A formula for the Euler characteristics of even dimensional triangulated manifolds, Proc. Amer. Math. Soc. 136 (2008), 2571-2573.

[13] (with N. Kawazumi) Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups, Math. Proc. Cambridge Phil. Soc. 144 (2008), 411-421.

[12] Nilpotency and triviality of mod $p$ Morita-Mumford classes of mapping class groups of surfaces, Nagoya Math. J., 165 (2002), 1--22.

[11] (with N. Kawazumi and T. Uemura) Periodic surface automorphisms and algebraic independence of Morita-Mumford classes, J. Pure Appl. Algebra, 160 (2001), 1--11.

[10] Homological infiniteness of decorated Torelli groups and Torelli spaces, Tôhoku Math. J., 53 (2001), 145--147.

[9] Homological infiniteness of Torelli groups, Topology, 40 (2001), no. 2, 213--221.

[8] Cohomology of discrete groups and their finite subgroups, J. Math. Soc. Japan, 52 (2000), no. 4, 869--875

[7] Euler characteristics of Coxeter groups, PL-triangulations of closed manifolds, and cohomology of subgroups of Artin groups, J. London Math. Soc. (2) 61 (2000), no. 3, 721--736.

[6] Aspherical Coxeter groups that are Quillen groups, Bull. London Math. Soc. 32 (2000), no. 1, 85--90.

[5] On the Euler characteristic of the orbit space of a proper $\Gamma$-complex, Osaka J. Math. 36 (1999), no. 4, 783--791.

[4] On the homology of Torelli groups and Torelli spaces, Proc. Japan Acad. Ser. A Math. Sci. 75 (1999), no. 2, 7--8.

[3] On the cohomology of Coxeter groups and their finite parabolic subgroups. II, Group representations: cohomology, group actions and topology (Seattle, WA, 1996), 1--5, Proc. Sympos. Pure Math., 63, Amer. Math. Soc., Providence, RI, 1998.

[2] On the cohomology of Coxeter groups and their finite parabolic subgroups, Tokyo J. Math. 18 (1995), no. 1, 151--158.

[1] Euler characteristics of groups and orbit spaces of free $G$-complexes, Proc. Japan Acad. Ser. A Math. Sci. 69 (1993), no. 10, 389--391.


Preprints

[2] The adjoint group of a Coxeter quandle, available from arXiv

[1] (with Ye Liu) Second mod 2 homology of Artin groups, available from arXiv:1702.03585


Articles

[10] Vanishing theorems for the homology of Coxeter groups and their alternating subgroups, 数理解析研究所講究録 1967 (2015), 54-108.

[9] Coxeter群のコホモロジーのp-primary componentについて, 数理解析研究所講究録 1922 (2014), 170–174.

[8] Surface symmetries, homology representations, and group cohomology, 数理解析研究所講究録 1581 (2008), 103--108. ( pdf/pdf)

[7] On mod $p$ Riemann-Roch formulae for mapping class groups, Groups of Diffeomorphisms 2006, Extended Abstracts. (pdf)

[6] 写像類群の有限部分群と森田-Mumford類, 数理解析研究所講究録 1270 (2002), 1--10. (pdf /pdf)

[5] 写像類群の有限部分群と森田-Mumford類, 2001年度日本数学会年会トポロジー分科会特別講演アブストラクト.

[4] Cohomology and Euler characteristics of Coxeter groups, Surgery and geometric topology (Sakado, 1996), Sci. Bull. Josai Univ. 1997, Special issue no. 2, 3--16 (Corrigendum: ibid. 6 (1998), 31). (file)

[3] 群のEuler数について(Coxeter群の場合), 数理解析研究所講究録 962 (1996), 137--147.

[2] Hattori-Stallings rankについて, 数理解析研究所短期共同研究 「有限群のコホモロジー論の研究」報告集 (1995) (pdf)

[1] Cohomology of Coxeter groups, 数理解析研究所講究録 838 (1993), 98--109.