List of Publications of Parameswaran Sankaran
- (With P.Zvengrowski): On stable
parallelizability of flag manifolds, Pacific J.Math.,
122, (1986), 455-458.
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(With P.Zvengrowski): Stable
parallelizability of partially oriented flag manifolds,
Pacific J.Math., 128, (1987) 349-359.
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Orientability of vector bundles and
formulae for Stiefel-Whitney classes,
Bol. Soc. Mat. Mex., 32, (1987) 7-13.
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(With K.Varadarajan): Some remarks on
pseudo-mitotic groups, Indian J.Math., 29, (1987),
283-293.
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(With K.Varadarajan): Acyclicity of certain
homeomorphism groups, Canad. J. Math., 42, (1990), 80-94.
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Which Grassmannians bound?, Arch. Math., 50, (1988), 474-476.
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Determination of Grassmann manifolds which are
boundaries, Canad. Math Bull., 34, (1) 1991, 1-4.
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(With G.Date, T.R.Govindarajan, and
R.Shankar): Inequivalent quantization for non-linear
sigma-models, Comm. Math. Phys. 132, (1990), 293-313.
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Non-existence of almost complex structures on
Grassmann manifolds, Proc. A.M.S.113 (1991), 297-302.
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(With J.Korba\v{s}): On continuous maps between
Grassmann manifolds, Proc.Indian Acad. Sci. 101, (1991),111-120.
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(With K.Varadarajan): Group actions on flag
manifolds and cobordism, Can. J. Math. 45, (1993), 650-661.
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(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.
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(With K.Varadarajan): Corrections to ``On certain
homeomorphism groups'' Jour. Pure Appl. Alg.114,(1997),
217-219.
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(With P.Vanchinathan): Small resolutions of
Schubert varieties in symplectic and orthogonal Grassmannians, Publ. RIMS,
Kyoto, 30,(1994),443-458.
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(With P.Vanchinathan): Small resolutions of
Schubert varieties and Kazhdan-Lusztig polynomials,
Publications of RIMS, Kyoto,31,(1995),465-480.
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(With S.Nag): Open string diagrams-I:
Topological type, J.Math. Phys.34,(1993),4562-4574.
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(With P.Zvengrowski): K-theory of Oriented
Grassmann mainfolds, Math Slovaca, 47,(1997),319-338.
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(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.
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(With Vimala Ramani): On degrees of maps between
Grassmannians, Proc. Ind. Acad. Sc.,107,(1997), 13-19.
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(With K.N.Raghavan): A new approach to standard
monomial theory for classical groups, Transformation
Groups,3,(1998), 57-73.
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(With P.Zvengrowski): Stable parallelizability of
partially oriented flag manifolds-II,
Canad. J. Math.,49,(1997),1323-1339.
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(With P. Zvengrowski): The order of the Hopf
line bundle on projective Stiefel manifolds,
Fund. Math., 161,(1999),225-233.
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(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.
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(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.
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(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 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., to appear.
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(With Swagata Sarkar) Degrees of maps between
Grassmann manifolds, to appear in Osaka J. Math.