Publications of Parameswaran Sankaran
- (With P. Zvengrowski): On stable
parallelizability of flag manifolds. Pacific J.Math.,
122, (1986), 455--458.
-
(With P. Zvengrowski): Stable
parallelizability of partially oriented flag manifolds.
Pacific J.Math., 128, (1987) 349--359.
-
Orientability of vector bundles and
formulae for Stiefel-Whitney classes,
Bol. Soc. Mat. Mex., 32, (1987) 7-13.
-
(With K. Varadarajan): Some remarks on
pseudo-mitotic groups, Indian J.Math., 29, (1987),
283-293.
-
(With K. Varadarajan): Acyclicity of certain
homeomorphism groups. Canad. J. Math., 42, (1990), 80-94.
-
Which Grassmannians bound?, Arch. Math., 50, (1988), 474-476.
-
Determination of Grassmann manifolds which are
boundaries, Canad. Math Bull., 34, (1) 1991, 1-4.
-
(With G. Date, T. R. Govindarajan, and
R. Shankar): Inequivalent quantization for non-linear
sigma-models, Comm. Math. Phys. 132, (1990), 293-313.
-
Non-existence of almost complex structures on
Grassmann manifolds, Proc. A.M.S.113 (1991), 297-302.
-
(With J. Korbaš): On continuous maps between
Grassmann manifolds, Proc.Indian Acad. Sci. 101, (1991),111-120.
-
(With K. Varadarajan): Group actions on flag
manifolds and cobordism, Can. J. Math. 45, (1993), 650-661.
-
(With K. Varadarajan): On certain homeomorphism groups, Jour.
Pure Appl. Alg. 92, (1993), 191-197.
- (With K. Varadarajan): A note on the homotopy type of posets,
Discrete Math. 126, (1994), 313-323.
-
(With K. Varadarajan): Corrections to ``On certain
homeomorphism groups'' Jour. Pure Appl. Alg.114,(1997),
217-219.
-
(With P. Vanchinathan): Small resolutions of
Schubert varieties in symplectic and orthogonal Grassmannians, Publ. RIMS,
Kyoto, 30,(1994),443-458.
-
(With P. Vanchinathan): Small resolutions of
Schubert varieties and Kazhdan-Lusztig polynomials,
Publications of RIMS, Kyoto,31,(1995),465-480.
-
(With S. Nag): Open string diagrams-I:
Topological type, J.Math. Phys.34,(1993),4562-4574.
-
(With P. Zvengrowski): K-theory of Oriented
Grassmann mainfolds, Math Slovaca, 47,(1997),319-338.
-
(With K. Mukherjea): Invariant points of
maps between Grassmannians, Proc. A.M.S., 124, (1996), 649-653.
- (With G. Mukherjee): Elementary abeilian 2-group
action on flag manifolds with applications,
Proc. A.M.S.126,(1998),595-606.
-
(With Vimala Ramani): On degrees of maps between
Grassmannians, Proc. Ind. Acad. Sc.,107,(1997), 13-19.
-
(With K. N. Raghavan): A new approach to standard
monomial theory for classical groups, Transformation
Groups,3,(1998), 57-73.
-
(With P. Zvengrowski): Stable parallelizability of partially oriented flag manifolds-II,
Canad. J. Math.,49,(1997),1323-1339.
-
(With P. Zvengrowski): The order of the Hopf
line bundle on projective Stiefel manifolds,
Fund. Math., 161,(1999),225-233.
-
(With J. Korba\v{s}): Almost complex and complex structures
on real projective Stiefel manifolds, Rendi.
Circ. Mat. Palermo. Sr.II, 48, (1999), 5-12.
-
(With Vimala Ramani): Dolbeault
cohomology of compact complex homogeneous manifolds, Proc. Indian
Acad. Sci. 109,(1999),11-21.
- (With K. N. Raghavan):
Verma basis for representations of
sl(n,C), Jour. Math. Phys. 40, (1999), 2190-2195.
- (With A. C. Naolekar): Chaotic group actions
on manifolds, Topology and Applications, 107,(2000),233-243.
- (With G. Mukherjee): Minimal Models of
Grassmann manifolds and applications,Math. Slovaca.,50,(2000), 567-579.
- (With Satya Deo and K. Varadarajan:) Some
finiteness
properties of groups and their automorphism groups,
Alg. Colloq., 7,(2000), 411-424.
- (With K. N. Raghavan:) Dual standard monomial
basis and canonical basis for type A, Journal of Algebra, 251, (2002),
560-576.
- A coincidence theorem for holomorphic
maps to G/P, Canadian Mathematical Bulletin, 46, (2003), 291-298.
- (With V. Uma:) Cohomology of toric bundles,
Commentarii Math. Helv.,78,(2003), 540--554.
Errata Comment. Math. Helv.79, (2004),
840-841.
- (With C. S. Aravinda) Orbits of certain
endomorphisms of nilmanifolds and Hausdorff dimension, A Tribute
to C.S.Seshadri, Perspectives in geometry and representation theory,
V. Lakshmibai et al. (Eds), pp. 125-132, Hindustan Book
Agency, New Delhi, 2003.
- (With N. E. Barufatti, D. Hacon, K. Y. Lam, and P. Zvengrowski)
The order of real line bundles,
Boletin de la Sociedad Matematica Mexicana, 10, (2004), 149-158.
-
(With A. C. Naolekar) Bounded automorphisms
and quasi-isometries finitely generated groups,
J. Group Theory, 8 (2005), 515--522..
- (With V. Lakshmibai and K. N. Raghavan)
Equivariant Giambelli and determinantal restriction formulas for the
Grassmannian Pure Appl. Math. Quart., Special volume
in honour of Robert MacPherson, 2, (2006), 699--717.
- (With P. Zvengrowski) Upper bounds for the
span of projective Stiefel manifolds, Recent developments in algebraic
topology,
(A.Adem et al. Eds) Volume in honour of Samuel Gitler, Contemp. Math.
407, 173--181.
- On pl-homeomorphisms and quasi-isometries of
the real line,
Proc. AMS., 134 (2006), 1875--1880.
- (With I. Biswas and S. Gadgil)
On theta characteristics of a compact
Riemann surface, Bull. Sci. Math. 131 (2007), no. 5, 493--499.
- (With V. Lakshmibai, K.N. Raghavan, and P. Shukla)
Standard monomial bases, moduli spaces of
vector bundles and invariant theory Transformation
Groups, 11 (2006), 673--704.
- (With V. Uma) K-theory of quasi-toric
manifolds, Osaka J. Math., 44, (2007), 71--89.
- (With I. Biswas and S. Gadgil)
On theta characteristics of a compact Riemann surface.
Bull. Sci. Math. 131 (2007), no. 5, 493--499.
-
K-rings of smooth complete toric varieties and related spaces.
Tohoku Math. J. (2) 60 (2008), no. 4, 459--469.
- (With V. Lakshmibai and K. N. Raghavan)
Frobenius splitting of certain rings of invariants , Michigan Math. Jour.,
57 (2008), 499--510.
- (With V. Lakshmibai and K. N. Raghavan)
Wahl's conjecture holds in odd characteristics for symplectic and
orthogonal Grassmannian Central European J. Math., 7 (2009), no. 2,
214--223.
-
Chaotic group actions on the rationals. Indian J. Pure Appl. Math. 40 (2009), no. 3, 221--228.
-
(With Swagata Sarkar) Degrees of maps between
Grassmann manifolds, Osaka J. Math. 46 (2009), no. 4, 1143--1161.
- (with Ajay Thakur) Complex structures on product of
circle bundles over complex manifolds Ann. Inst. Fourier (Grenoble), 63
(2013) 1331--1366.
-
(with V. V. Awasthi) Torsion
subgroups of the homeomorphism groups of products of long line.
Topology Appl. 158 (2011), no. 9, 1136--1139.
-
(with Shilpa Gondhali)
Vector fields on certain quotients of complex Stiefel manifolds. Math. Slovaca 63 (2013), no. 4, 883--896.
- (with T. Mubeena)
Twisted conjugacy classes in abelian extensions of certain linear groups.
Canad. Math. Bull. 57 (2014), no. 1, 132--140.
- (with T. Mubeena)
Twisted conjugacy classes in lattices in semisimple Lie groups.
Transform. Groups 19 (2014), no. 1, 159--169.
- (with Pampa Paul and K. N. Raghavan)
Borel-de Siebenthal discrete series and associated holomorphic discrete series. J. Lie Theory 24 (2014), no. 2, 475--501.
-
(with Prateep Chakraborty)
Formality of certain CW complexes and applications to Schubert varieties and
torus manifolds. J. Ramanujan Math. Soc. 28A (2013), 55--74.
Errata, J. Ramanujan Math. Soc. 29 (2014), no. 4, 459--463.
(There was serious error in proof of Theorem 1.4, which affected validity of
some of the main results. Here is the more detailed corrected version.)
- (With Prateep Chakraborty)
Maps between certain complex Grassmann manifolds. Topology Appl. 170
(2014), 119--123.
- (With Daciberg Gonçalves)
Sigma theory and twisted conjugacy-II: Houghton groups and pure
symmetric automorphism groups Pacific Jour. Math. 280 (2016),
no.2,349--369.
- (With Arghya Mondal) Degrees of
maps between locally symmetric spaces. Bull. Sci. Math. 140 (2016),
no. 5, 488-505.
- (With Daciberg Gonçalves and Ralph Strebel)
Groups of PL-homeomorphisms admitting
nontrivial invariant characters
Pacific Jour. Math. 287 (2017), no. 1, 101--158.