%0 Report %D 2010 %T Cohomology of Skew-holomorphic lie algebroids %A Ugo Bruzzo %A Vladimir Rubtsov %X We introduce the notion of skew-holomorphic Lie algebroid on a complex manifold, and explore some cohomologies theories that one can associate to it. Examples are given in terms of holomorphic Poisson structures of various sorts. %G en_US %U http://hdl.handle.net/1963/3853 %1 856 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2010-03-08T11:09:57Z\\nNo. of bitstreams: 1\\nHolAlgCohom-2.pdf: 239431 bytes, checksum: 218e3d336432ad269f8f4c67e8d42fa5 (MD5) %0 Journal Article %J Differential Geom. Appl. 14 (2001) 151-156 %D 2001 %T Complex Lagrangian embeddings of moduli spaces of vector bundles %A Ugo Bruzzo %A Fabio Pioli %X By means of a Fourier-Mukai transform we embed moduli spaces of stable bundles on an algebraic curve C as isotropic subvarieties of moduli spaces of mu-stable bundles on the Jacobian variety J(C). When g(C)=2 this provides new examples of special Lagrangian submanifolds. %B Differential Geom. Appl. 14 (2001) 151-156 %I Elsevier %G en_US %U http://hdl.handle.net/1963/2885 %1 1815 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-09-10T10:08:27Z\\nNo. of bitstreams: 1\\n0010249v1.pdf: 141027 bytes, checksum: 1c49d04b301d728d577cf724722b5af7 (MD5) %R 10.1016/S0926-2245(00)00040-1 %0 Journal Article %J Comm. Math. Phys. 206 (1999) 265-272 %D 1999 %T Categorial mirror symmetry for K3 surfaces %A Claudio Bartocci %A Ugo Bruzzo %A Guido Sanguinetti %X We study the structure of a modified Fukaya category ${\\\\frak F}(X)$ associated with a K3 surface $X$, and prove that whenever $X$ is an elliptic K3 surface with a section, the derived category of $\\\\fF(X)$ is equivalent to a subcategory of the derived category ${\\\\bold D}(\\\\hat X)$ of coherent sheaves on the mirror K3 surface $\\\\hat X$. %B Comm. Math. Phys. 206 (1999) 265-272 %I Springer %G en_US %U http://hdl.handle.net/1963/2887 %1 1813 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-09-10T10:27:18Z\\nNo. of bitstreams: 1\\n9811004v2.pdf: 164135 bytes, checksum: 85c711ba84f77d68351d95af3caad50c (MD5) %R 10.1007/s002200050705 %0 Journal Article %J J.Math.Phys.31:45,1990 %D 1990 %T Chern-Simons forms on principal superfiber bundles %A Giovanni Landi %A Claudio Bartocci %A Ugo Bruzzo %X A graded Weil homomorphism is defined for principal superfiber bundles and the related transgression (or Chern-Simons) forms are introduced. As an example of the application of these concepts, a ``superextension\\\'\\\' of the Dirac monopole is discussed. %B J.Math.Phys.31:45,1990 %I SISSA Library %G en %U http://hdl.handle.net/1963/590 %1 3314 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T12:34:46Z (GMT). No. of bitstreams: 1\\n109_87.pdf: 683027 bytes, checksum: c0d44fdabb8144815d764846f5241132 (MD5)\\n Previous issue date: 1987 %R 10.1063/1.528826