polyfolds

polyfolds

English

Noun

polyfolds

1. plural of polyfold
   • 2015, Dominic Joyce, “Kuranishi spaces as a 2-category”, in arXiv‎:

     The same holds for McDuff and Wehrheim's 'Kuranishi atlases' in arXiv:1508.01556. Using results of Yang on polyfolds and Kuranishi spaces surveyed in arXiv:1510.06849, a compact topological space ${\\displaystyle X}$ with a 'polyfold Fredholm structure' in the sense of Hofer, Wysocki and Zehnder (see e.g. arXiv:1407.3185) can be made into a Kuranishi space ${\\displaystyle {\\bf {X}}}$ uniquely up to equivalence in ${\\displaystyle {\\bf {Kur}}}$. Our Kuranishi spaces are based on the author's theory of Derived Differential Geometry (see e.g. arXiv:1206.4207), the study of classes of derived manifolds and orbifolds that we call 'd-manifolds' and 'd-orbifolds'.