Abstract
In this chapter, we prove Theorem 7.51, that is, the existence of CF-perturbations with respect to which a given weakly submersive map becomes strongly submersive. We also prove its relative version, Proposition 7.59. For this purpose we use the language of sheaf theory to prove Proposition 12.2 for a single Kuranishi chart and Theorem 12.24 for a general case.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
We take a Riemannian metric of V x etc. (depending on x) so that the C 1 distance makes sense.
References
R. Godement, Topologie algébrique et théorie des faisceaux (Hermann, Paris, 1958)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Fukaya, K., Oh, YG., Ohta, H., Ono, K. (2020). Construction of CF-Perturbations. In: Kuranishi Structures and Virtual Fundamental Chains. Springer Monographs in Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-15-5562-6_12
Download citation
DOI: https://doi.org/10.1007/978-981-15-5562-6_12
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-5561-9
Online ISBN: 978-981-15-5562-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)