# Beyond perturbation 1: De Rham spaces

Borisov, D
Kremnizer, K

January 2018

## Journal:

JOURNAL OF GEOMETRY AND PHYSICS

## Last Updated:

2019-04-27T17:18:21.77+01:00

124

## DOI:

10.1016/j.geomphys.2017.11.001

208-224

## abstract:

© 2017 Elsevier B.V. It is shown that if one uses the notion of ∞-nilpotent elements due to Moerdijk and Reyes, instead of the usual definition of nilpotents to define reduced C ∞ -schemes, the resulting de Rham spaces are given as quotients by actions of germs of diagonals, instead of the formal neighbourhoods of the diagonals.

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