Models for synthetic supergeometry

David N. Yetter

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1988)

  • Volume: 29, Issue: 2, page 87-108
  • ISSN: 1245-530X

How to cite

top

Yetter, David N.. "Models for synthetic supergeometry." Cahiers de Topologie et Géométrie Différentielle Catégoriques 29.2 (1988): 87-108. <http://eudml.org/doc/91418>.

@article{Yetter1988,
author = {Yetter, David N.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {synthetic differential geometry; differential geometry with both commuting and non-commuting parameters; supermanifold; differentially closed theory; superification; Grassman algebras; graded Weil algebras; germ determined algebra; super-Dubuc topos; super-Stein topos; graded manifolds; infinitesimal linearity; superspace integration},
language = {eng},
number = {2},
pages = {87-108},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Models for synthetic supergeometry},
url = {http://eudml.org/doc/91418},
volume = {29},
year = {1988},
}

TY - JOUR
AU - Yetter, David N.
TI - Models for synthetic supergeometry
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1988
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 29
IS - 2
SP - 87
EP - 108
LA - eng
KW - synthetic differential geometry; differential geometry with both commuting and non-commuting parameters; supermanifold; differentially closed theory; superification; Grassman algebras; graded Weil algebras; germ determined algebra; super-Dubuc topos; super-Stein topos; graded manifolds; infinitesimal linearity; superspace integration
UR - http://eudml.org/doc/91418
ER -

References

top
  1. 1, Batchelor, M., Graded manifolds and supermanifolds, in [9], Zbl0539.53058
  2. 2, Berezin, F.A., Differential forms on supermanifolds, Sov. J. Nucl. Phys.30 (1979), 605-608, Zbl0541.58003MR576533
  3. 3, Bunge, M., Categories of set-valued functors, Ph.D. Thesis, Univ, of Pennsylvania, 1966 (unpublished), 
  4. 4, Dubuc, E., Sur les modèles de la Géométrie Différentielle Synthé-tique, Cahiers Top. et Géom. Diff, XX-3 (1979), 231-279, Zbl0473.18008MR557083
  5. 5, Hoskin, D.A.J., The Stein topos, in Categorical Methods in Geometry (ed, A. Kock), Aarhus Univ. Mat, Inst, Various Publ, Series 35, 1983, Zbl0572.18003MR739543
  6. 6, Kock, A., Synthetic Differential Geometry, LMS Lecture Notes51, Cambridge Univ, Press, 1981, Zbl0466.51008MR649622
  7. 7, Kostant, B., Graded manifolds, graded Lie theory, and prequantization, Lecture Notes in Math, 570, Springer (1977), Zbl0358.53024MR580292
  8. 8, Lawvere, F.W., Functorial Semantics, Proc. N.A.S.50 (1963), 869-871, Zbl0119.25901MR158921
  9. 9, Mathematical aspects of superspaces (ed. H,-J, Seifert et al), NATO ASI Series C, Vol, 132, Reidel, 1984, MR773076
  10. 10 Rogers, A., Consistent superspace integration, J. Math. Phys, 26 (3) (1985), 385-392, Zbl0568.15020MR786391
  11. 11, Yetter, D.N., On right adjoints to exponential functors, J. Pure Appl. Algebra45 (1987), 287-304, Zbl0631.18001MR890028

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.