PRELIMINARY VERSION
-
Title:
The Chern character for principal extensions of noncommutative algebras
[pdf]
Authors:
T.Brzezinski
(homepage),
P.M.Hajac,
R.Matthes,
W.Szymanski
In: (Detailed version of the announcements
Noncommutative index theory of mirror quantum spheres,
The Chern-Galois character and
Chern numbers for two families of noncommutative Hopf fibrations)
PREPRINT
PUBLISHED
-
Title:
Hopf-cyclic homology and cohomology with coefficients
[pdf]
Authors:
P.M.Hajac
M.Khalkhali
B.Rangipour
Y.Sommerhaeuser
In: Comptes Rendus Math. (Acad. Sci. Paris Ser. I)
math/0306288
-
Title:
Stable anti-Yetter-Drinfeld modules
[pdf]
Authors:
P.M.Hajac
M.Khalkhali
B.Rangipour
Y.Sommerhaeuser
In: Comptes Rendus Math. (Acad. Sci. Paris Ser. I)
vol.338 (2004) 587-590.
math/0405005
-
Title:
The Chern-Galois character
[pdf]
Authors:
T.Brzezinski
(homepage),
P.M.Hajac
In: Comptes Rendus Math. (Acad. Sci. Paris Ser. I)
vol.338 (2004) 113-116.
math/0306436
-
Title:
Graph C*-algebras and Z/2Z-quotients of quantum spheres
Authors:
P.M.Hajac
R.Matthes
W.Szymanski
In: Reports on Mathematical Physics vol.51 (2003) 215-224.
math/0209268
[abs,
src,
ps,
other]
-
Title:
Chern numbers for two families of noncommutative Hopf fibrations
[pdf]
Authors:
P.M.Hajac
R.Matthes
W.Szymanski
In: Comptes Rendus Math. (Acad. Sci. Paris Ser. I)
vol.336 (2003) 925--930.
math/0302256
[abs,
src,
ps,
other]
-
Title:
Quantum real projective space, disc and spheres
[pdf]
Authors:
P.M.Hajac
R.Matthes
W.Szymanski
In:
Algebras and Representation Theory vol.6 169-192 May 2003
math/0009185
[abs,
src,
ps,
other]
-
Title:
Strong connections and Chern-Connes pairing in the Hopf-Galois theory
[pdf]
Authors:
L.Dabrowski
(homepage),
H.Grosse
(homepage),
P.M.Hajac
In:
Communications in Mathematical Physics, 2001, vol.220, 301-331
math/9912239
[abs,
(the original publication is available on
LINK),
src,
ps,
other]
-
Title:
Bundles over quantum sphere and noncommutative index theorem
[pdf]
Author:
Piotr M. Hajac
In: K-Theory, 2000, vol.21, 141-150
math/9809086
[abs,
src,
ps,
other]
-
Title: Projective module description of the q-Monopole
[pdf]
Authors:
P.M.Hajac,
S.Majid
(homepage)
In:
Communications in Mathematical Physics, 1999, vol. 206, 247-264.
math/9803003
[abs,
src,
ps,
other]
-
Title:
Explicit Hopf-Galois description of $SL_{e^{2i\pi/3}}$-induced
Frobenius homomorphisms
Authors:
L.Dabrowski
(homepage),
P.M.Hajac,
P.Siniscalco
In:
Enlarged Proceedings of the ISI GUCCIA Workshop on quantum
groups, non commutative geometry and fundamental physical interactions,
D.Kastler, M.Rosso, T.Schucker (eds.),
Commack - New York, Nova Science Pub, Inc., 1999, 279-298.
q-alg/9708031
[abs,
src,
ps,
other]
-
Title:
Coalgebra extensions and algebra coextensions of Galois type
Authors:
T.Brzezinski
(homepage),
P.M.Hajac
In:
Communications in Algebra, 1999, vol.27, 1347-1367.
q-alg/9708010
[abs,
src,
ps,
other]
-
Title:
Frame, cotangent and tangent bundles of the quantum plane
Authors:
P.M.Hajac,
R.Matthes
In:
Proceedings of the workshop ``Lie Theory and its Applications
in Physics II," Clausthal, August 1997. H.-D. Doebner, J. Hilgert,
V. K. Dobrev (eds.) World Scientific Publ., 1998, 377-385.
math/9803127
[abs,
src,
ps,
other]
-
Title:
Quantum double-torus
Authors:
P.M.Hajac,
T.Masuda
In:
Comptes Rendus Acad. Sci. Paris, Ser. I, Math.,
1998, vol.327 (6) 553-558.
math/9803092
[abs,
src,
ps,
other]
-
Title:
A note on first order differential calculus on quantum principal bundles
Author:
Piotr M. Hajac
In:
Czechoslovak Journal of Physics, 1997, vol.47, 1139-1144
(Proceedings
of the 6th Colloquium on Quantum Groups and Integrable Systems.)
q-alg/9708014
[abs,
src,
ps,
other]
-
Title:
Strong connections on quantum principal bundles
Author:
Piotr M. Hajac
In:
Communications in Mathematical Physics, 1996, vol.182, 579-617
hep-th/9406129
[abs,
src,
ps,
other]
-
Title:
Metrics and pairs of left and right connections on bimodules
Authors:
L.Dabrowski
(homepage),
P.M.Hajac,
G.Landi
(homepage),
P.Siniscalco
In:
Journal of Mathematical Physics, 1996, vol.37, 4635-4646
q-alg/9602035
[abs,
src,
ps,
other]
-
Title:
The Einstein action for algebras of matrix valued functions - toy models
Author:
Piotr M. Hajac
In:
Journal of Mathematical Physics, 1996, vol.37, 4549-4556
q-alg/9510007
[abs,
src,
ps,
other]
-
Title:
Axiomatic holonomy maps and generalized Yang-Mills moduli space
Author:
Piotr M. Hajac
In:
Letters in Mathematical Physics, 1993, vol.27, 301-309
math-ph/9809019
[abs,
src,
ps,
other]