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MARC 21

The geometry of supermanifolds
Tag	Description
020	$a0-7923-1440-9
080	$a515.16
082	$a514.3 (DDC 20)
099	$a515.16 BAR
100	$aBartocci, Claudio$d1962-
245	$aThe geometry of supermanifolds
245	$hM
245	$cby Claudio Bartocci, Ugo Bruzzo and Daniel Hernandez-Ruiperez
260	$aDordrecht$bKluwer$c1991
300	$axix, 242 pages$c24 cm.
440	$aMathematics and its applications$vv. 71
520	$aI: Foundations.- I - Elements of graded algebra.- 1. Graded algebraic structures.- 2. Graded algebras and graded tensor calculus.- 3. Matrices.- II - Sheaves and cohomology.- 1. Presheaves and sheaves.- 2. Sheaf cohomology.- 3. de Rham, Dolbeault, and ?ech cohomologies.- 4. Graded Ringed spaces.- II Supermanifolds.- III - Categories of supermanifolds.- 1. Graded manifolds.- 2. Supersmooth functions.- 3. GH? functions.- 4. G-supermanifolds.- IV - Basic geometry of G-supermanifolds.- 1. Morphisms.- 2. Products.- 3. Super vector bundles.- 4. Graded exterior differential calculus.- 5. Projectable graded vector fields.- 6. DeWitt supermanifolds.- 7. Rothstein's axiomatics.- V - Cohomology of supermanifolds.- 1. de Rham cohomology of graded manifolds.- 2. Cohomology of graded differential forms.- 3. Cohomology of DeWitt supermanifolds.- 4. Again on the structure of DeWitt supermanifolds.- VI - Geometry of super vector bundles.- 1. Connections.- 2. Super line bundles.- 3. Characteristic classes.- 4. Characteristic classes in terms of curvature forms.- VII - Lie supergroups and principal super fibre bundles.- 1. Lie supergroups.- 2. Lie supergroup actions.- 3. Principal superfibre bundles.- 4. Connections.- 5. Associated super fibre bundles.
700	$aBruzzo, Ugo
700	$aHernández-Ruipérez, Daniel$d1954-