Publications to refereed articles (2003--2015)

(11) Shintar\^o Kuroki and DongYoup Suh: Cohomological non-rigidity of eight-dimensional complex projective towers, Algebraic & Geometric Topology 15-2 (2015), 769--782. DOI 10.2140/agt.2015.15.769. [pdf](version_2014-Jul.25th); OCAMI preprint series 13-12

(10) Shintar\^o Kuroki and DongYoup Suh: Complex projective towers and their cohomological rigidity up to dimension six, Proceedings of Steklov Institute of Mathematics, 2014, Vol. 286, Issue 1, 285--307. (ISSN: 0081-5438, DOI: 10.1134/S0081543814060170) [pdf]; OCAMI preprint series 13-11

(9) Shintar\^o Kuroki and Li Yu: On the equivalence of several definitions of compact infra-solvmanifolds , Proceedings of the Japan Academy, Ser. A Mathematical Sciences, 2013, Vol. 89, No 9, 114-118. (ISSN(Print): 0386-2194, DOI: 10.3792/pjaa.89.114) [pdf], OCAMI preprint series 13-5 or arXiv:1305.4270

(8) Shintar\^o Kuroki: Equivariant cohomology distinguishes the geometric structures of toric hyperK\"ahler manifolds, Proceedings of the Steklov Institute of Mathematics, 2011, Vol. 275, 251--283. (ISSN(Print): 0081-5438, ISSN(Online): 1531-8605, DOI: 10.1134/S0081543811080189) [pdf]; OCAMI preprint series 10-18

(7) Suyoung Choi and Shintar\^o Kuroki: Topological classification of torus manifolds which have codimension one extended actions, Algebraic & Geometric Topology, 11, (2011), 2655--2679. (ISSN(Electronic): 1472-2739, ISSN(Print): 1472-2747, DOI: 10.2140/agt.2011.11.2655) arXiv:0906.1335 or OCAMI preprint series 09-9

(6) Shintar\^o Kuroki: Classification of torus manifolds with codimension one extended actions, Transformation Groups: Volume 16, Issue 2 (2011), 481--536. (ISSN(Print): 1083-4362, ISSN(Online): 1531-586X, DOI: 10.1007/s00031-011-9136-7) [pdf]; OCAMI preprint series 10-16

(5) Shintar\^o Kuroki: Operations on three dimensional small covers, Chinese Annals of Mathematics, Series B, Vol 31, no. 3, 393--410 (2010). (ISSN(Print): 0252-9599, ISSN(Online): 1860-6261, DOI: 10.1007/s11401-008-0417-y) OCAMI preprint series 09-6

(4) Shintar\^o Kuroki: Characterization of homogeneous torus manifolds, Osaka Journal of Mathematics, Vol 47, no. 1, 285--299 (2010). (ISSN(Print): 0030-6126) OCAMI preprint series 09-3

(3) Shintar\^o Kuroki: Classification of compact transformation groups on complex quadrics with codimension one orbits, Osaka Journal of Mathematics, Vol 46, no. 1, 21--85 (2009). (ISSN(Print): 0030-6126) [pdf]

(2) Shintar\^o Kuroki: On SL(3,R)-action on 4-sphere, the Journal of Fundamental and Applied Mathematics. 11 (2005), no. 5, 99--105., translation in Journal of Mathematical Sciences (N.Y.) 146 (2007), no. 1, 5518--5522. (ISSN(Print): 1072-3374, ISSN(Online): 1573-8795, DOI: 10.1007/s10958-007-0365-1) [pdf]

(1) Shintar\^o Kuroki: On the construction of smooth SL(m,H)\times SL(n,H)-actions on S^{4(m+n)-1}, Bulletin of Yamagata University, Yamagata, Japan (Natural Science) Vol. 15, No. 3 February, 2003, 49--59.

Summaries in Refereed Proceedings and Articles, 2009

(1) Shintar\^o Kuroki: On projective bundles over small covers (a survey), GROUP ACTIONS AND HOMOGENEOUS SPACES. Proceedings of the International Conference Bratislava Topology Symposium "Group Actions and Homogeneous Spaces", September 7-11, 2009, Comenius University, Bratislava, Slovakia, 43--60 (2010). [pdf]; OCAMI preprint series 10-7

Expository papers, 2009

Non-refereed Proceedings and Articles, 2003--2015

(14) Shintar\^o Kuroki: Classifications of homogeneous complexity one GKM manifolds and GKM graphs with symmetric group actions, RIMS Kokyuroku 1922, 135--146 (2014). [pdf]

(13) Shintar\^o Kuroki: A topological definition of hypertoric manifolds and its equivariant cohomology, Trends in Mathematics - New Series Vol 12 No 1, 135--138 (2010). [pdf]

(12) Shintar\^o Kuroki: GKM graphs induced by GKM manifolds with SU(l+1)-symmetries. Trends in Mathematics - New Series Vol 12 No 1, 103--113 (2010). [pdf]

• The previous version (extended abstract): GKM graphs induced by GKM manifolds with SU(2)-symmetries. [pdf]

(10) Shintar\^o Kuroki: Equivariant cohomology determines hypertoric manifold, RIMS kokyuroku 1670, 107--116 (2009). [pdf]

(9) Shintar\^o Kuroki: Remarks on McGavran's paper and Nishimura's result, Trends in Mathematics - New Series Vol 10 No 1, 77--79 (2008). [ps]

(8) Shintar\^o Kuroki: On 8-manifolds with SU(3)-actions, RIMS Kokyuroku 1569, 81--93 (2007). [pdf]

(7) Shintar\^o Kuroki: On transformation groups of torus manifolds, RIMS Kokyuroku 1540, 67--78 (2007). (Japanese)

(6) Shintar\^o Kuroki: On transformation groups which act on torus manifolds, Proceedings of 33rd Symposium on Transformation Groups, 10--26 (2007). [pdf]

(5) Shintar\^o Kuroki: Classification of compact group actions on torus manifolds which have codimension 0 or 1 orbits, Hokkaido university Technical report series in Mathematics, Series #117, The 3rd COE Conference for Young Researchers -CCYR3-, 177--184 (2007). (Japanese) [pdf]

(4) Shintar\^o Kuroki: Hypertorus graph and its equivariant cohomology, RIMS Kokyuroku 1517, 120--135 (2006). (Japanese)

(3) Shintar\^o Kuroki: On classification of compact Lie groups which act on complex quadrics with codimension one orbits, Proceedings of the 2nd Kinosaki-shinjin-seminar, 256--261 (2005). (Japanese)

(2) Shintar\^o Kuroki: On the SL(3,R)-action on 4-sphere, RIMS Kokyuroku 1393, 79--81 (2004).

(1) Shintar\^o Kuroki: Classification of compact transformation groups on complex quadrics with codimension one orbits, RIMS Kokyuroku 1343, 10--24 (2003).

Others, 2006--2014

(8)-(a) Shizuo Kaji and Shintar\^o Kuroki: GKM manifold - definition. [pdf]

• The previous (2014) versions of (2) in Refereed Proceedings and Articles.

• This first part of this paper has been published as (13). There are some mistakes in the latter part of this version.

• This paper has been split into the published papers (10) and (11).

(5)-(a) Shintar\^o Kuroki: Classification of quasitoric manifolds with codimension one extended actions. OCAMI preprint series 09-4

• Two papers above have been absorbed by the published paper (6). In these papers, I just used the Uchida's method to prove the main theorem.

• The previous (2010) version of arXiv:2106.11598 with Uma.

• Summary of my research when I was a postdoctor in Fudan University. I wrote about extended actions of torus manifolds, operations on small covers, and projective bundles over small covers.

• This is the proceeding of RIMS workshop which I co-organized.

• This is my Ph.D thesis. I wrote about cohomogeneity one actions on rational cohomology complex quadrics, and hypertorus graphs (GKM graphs).