Verdier duality on conically smooth stratified spaces
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Bibliographic record
Abstract
We prove a duality for constructible sheaves on conically smooth stratified spaces.We consider sheaves with values in a stable and bicomplete 1-category equipped with a closed symmetric monoidal structure, and in this setting constructible means locally constant along strata and with dualizable stalks.The crucial point where we need to employ the geometry of conically smooth structures is in showing that Lurie's version of Verdier duality restricts to an equivalence between constructible sheaves and cosheaves: this requires a computation of the exit paths 1-category of a compact stratified space, which we obtain via resolution of singularities.18N60, 54B40, 57N80, 57P05 1. Introduction 919 2. Finite exit paths 924 3. Homotopy invariance and exodromy with general coefficients 933 4. Verdier duality 942 Appendix.The shape of a proper locally contractible 1-topos 948
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| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
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