EMBEDDINGS, NORMAL INVARIANTS AND FUNCTOR CALCULUS
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This paper investigates the space of codimension zero embeddings of a Poincaré duality space in a disk. One of our main results exhibits a tower that interpolates from the space of Poincaré immersions to a certain space of “unlinked” Poincaré embeddings. The layers of this tower are described in terms of the coefficient spectra of the identity appearing in Goodwillie’s homotopy functor calculus. We also answer a question posed to us by Sylvain Cappell. The appendix proposes a conjectural relationship between our tower and the manifold calculus tower for the smooth embedding space.
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2006 ◽
Vol 9
(4)
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pp. 323-336
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2001 ◽
Vol 131
(3)
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pp. 473-486
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2006 ◽
Vol 116
(3)
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pp. 293-298
2016 ◽
Vol 152
(7)
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pp. 1398-1420
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1989 ◽
Vol s2-39
(2)
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pp. 271-284
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2003 ◽
Vol 2003
(38)
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pp. 2425-2445
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