Publications

 

 

Preprints

 

�� G. Carboni, J. A. Guccione, J. J. Guccione. The cyclic homology of monogenic extensions in the noncommutative setting. arXiv.

�� S. D. Corti, J. A. Guccione, J. J. Guccione. Braided Sweedler cohomology. arXiv

�� G. Corti�as, C. Haesemeyer, M. E. Walker, C. Weibel. The K-theory of toric varieties.   arXiv

�� G. Corti�as, C. Haesemeyer, C. Weibel. Infinitesimal cohomology and the Chern character to negative cyclic homology.   arXiv

�� G. Corti�as, A. Thom. Comparison between algebraic and topological K-theory of locally convex algebras.  arXiv

�� M. Farinati - J.A. Guccione - J.J. Guccione. The cohomology of monogenic extensions in the noncommutative setting. arXiv

�� Sebasti�n Freyre, Mat�as Gra�a, Leandro Vendramin. On Nichols algebras over SL(2,Fq) and GL(2,Fq) Preprint pdf dvi

�� M. Gra�a, J.A. Guccione, J.J. Guccione. How to disentangle two braided Hopf algebras. arXiv

 

 

Accepted for publication

 

� G. Corti�as, A. Thom. Bivariant algebraic K-theory. To appear in J. reine angew. Math (Crelle�s journal) arXiv

�� G. Corti�as, C. Haesemeyer, M. Schlichting, C. Weibel. Cyclic homology, cdh-cohomology and negative K-theory. Annals of Mathematics.

 

Published Papers (last 5 years)

 

2007

 

� G. Corti�as, C. Haesemeyer, C. Weibel. K-regularity, cdh-fibrant Hochschild homology, and a conjecture of Vorst. �DOI: 10.1090/S0894-0347-07-00571-1.

�� Mat�as Gra�a, Istv�n Heckenberger. On a factorization of graded Hopf algebras using Lyndon words J. Algebra 2007 314 324-343 pdf dvi

�� Mat�as Gra�a, Juan Jos� Guccione, Jorge Alberto Guccione. Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism J. Pure Appl. Algebra 2007 210 493-500 pdf dvi

�� Mat�as Gra�a, Juan Pablo Pinasco. Discrete Scale Invariance in Scale Free Graphs Physica A 2007 380 601-610 pdf

�� Jorge A. Guccione, Juan J. Guccione y Mauricio da Rocha. Braided module and comodule algebras, Galois extensions and elements of trace 1.  Journal of Algebra 307 (2), (2007) 727-768 .

 

 

 

2006

 

�� Gabriel Acosta, Mat�as Gra�a, Juan Pablo Pinasco. Condition numbers and scale free graphs The European Physical Journal B 2006 53 381-385 e-version pdf

�� G. Corti�as. The obstruction to excision in K-theory and in cyclic homology. Invent. Math. 454 (2006) 143-173. arXiv

�� Jorge A. Guccione y Juan J. Guccione. Relative cyclic homology of square zero extensions. Journal fur die Reine und Agnewandte Mathematik 600, 51-80 (2006).

2005

 

�� J.S. Carter, M. Elhamdadi, M. Gra�a, M. Saito Cocycle Knot Invariants from Quandle Modules and Generalized Quandle Cohomology Osaka J. Math. 42 499-541 2005 ps.gz

�� M. Farinati. Hochschild duality, localization and smash products. Journal of Algebra. Volume 284, Issue 1, 1 (2005), 415-434. arXiv

�� M. Gra�a, V. Turaev Knot theory for self-indexed graphs Trans. Amer. Math. Soc. 357 535-553 2005 dvi ps.gz djvu

�� P. Etingof and M. Gra�a Quantization of non-unitary geometric classical r-matrices Math. Res. Letters 12 2,3 141-153 2005 dvi ps.gz

 

2004

 

�� J.L. Castiglioni, G. Corti�as. Cosimplicial versus DG-rings: a version of the Dold-Kan correspondence. J. Pure  Appl. Algebra.191 (2004) 119-142. arXiv

�� G. Corti�as. The structure of smooth algebras in Kapranov's framework for noncommutative geometry. J. of Algebra  281 (2004) 679-694. arXiv

�� G. Corti�as, M. de Le�n. C�lculos efectivos de la homolog�a c�clica negativa de hipersuperficies con singularidades aisladas. EACA 2004: Actas de los Encuentros de Algebra Computacional y Aplicaciones, 2004. L. Gonz�lez Vega, T. Recio (Eds.) Universidad de Cantabria. Santander, 2004.ISBN  84-688-6988-04

�� M. Farinati - A. Solotar. G-Structure on the cohomology of Hopf algebras. Proc. Amer. Math. Soc. 132 (2004), 2859-2865. arXiv: ,

�� M. Gra�a Indecomposable racks of order p2 Beitr�ge Algebra Geom. 45 2 665-676 2004 dvi ps.gz

�� Constanza Di Luigi, Jorge A. Guccione y Juan J. Guccione. Brzezinski's crossed products and braided Hopf crossed products. Communications in Algebra 32, 3563-3580 (2004).

 

2003

 

�� N. Andruskiewitsch, M. Gra�a. Examples of liftings of Nichols algebras over racks T�ories d'homologie, rep�sentations et alg�bres de Hopf AMA Algebra Montp. Announc. Paper 1, 6 pp. (electronic) 2003 dvi ps.gz

�� N. Andruskiewitsch, M. Gra�a. From racks to pointed Hopf algebras Adv. Math. 178 2 177-243 2003 ps.gz

�� G. Corti�as, C. Valqui. Excision in bivariant periodic cyclic homology: a categorical approach.  K-theory 30 (2003) 167-201. arXiv

�� G. Corti�as. De Rham and infinitesimal cohomology in Kapranov's model for noncommutative algebraic geometry.  Compositio Mathematica 136 (2003) 171-203 arXiv

�� P. Etingof, M. Gra�a. On rack cohomology J. Pure Appl. Algebra 177 1 49-59 2003 dvi ps.gz

� �M. Farinati. On the derived invariance of cohomology theories for coalgebras. Algebras and Representation Theory 6(3) pp. 303-331 (2003). arXiv

�� Jorge A. Guccione y Juan J. Guccione. Hochschild cohomology of Frobenius algebras. Proceedings of the American Mathematical Society 132 (5),  1241-1250 (2003).

�� Jorge A. Guccione y Juan J. Guccione.  Theory of braided Hopf crossed products. Journal of Algebra 261 (1), 54-101 (2003).