Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeAug 25th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded more references: * [[Paolo Salvatore]]: *Configuration spaces with summable labels*, in *Cohomological methods in homotopy theory* (Bellaterra, 1998), Progr. Math. **196**, Birkhäuser (2001) 375–395 \[<a href="https://doi.org/10.1007/978-3-0348-8312-2_23">doi:10.1007/978-3-0348-8312-2_23</a>, <a href="https://arxiv.org/abs/math/9907073">arXiv:math/9907073</a>\] * Jeremy Miller: *Nonabelian Poincaré duality after stabilizing*, Trans. Amer. Math. Soc. **367** (2015) 1969-1991 \[<a href="https://www.ams.org/journals/tran/2015-367-03/S0002-9947-2014-06186-2">doi:2015-367-03/S0002-9947-2014-06186-2</a>, [arXiv:1209.2773](https://arxiv.org/abs/1209.2773)\] * [[Sadok Kallel]]: *Particle Spaces on Manifolds and Generalized Poincaré Dualities*, Quarterly J. Math. **52** 1 (2001) 45–70 \[<a href="https://doi.org/10.1093/qjmath/52.1.45">doi:10.1093/qjmath/52.1.45</a>, [arXiv:math/9810067](https://arxiv.org/abs/math/9810067)\] <a href="https://ncatlab.org/nlab/revision/diff/nonabelian+Poincar%C3%A9+duality/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/nonabelian+Poincar%C3%A9+duality/6">v6</a>, <a href="https://ncatlab.org/nlab/show/nonabelian+Poincar%C3%A9+duality">current</a>

   added more references:

   • Paolo Salvatore: Configuration spaces with summable labels, in Cohomological methods in homotopy theory (Bellaterra, 1998), Progr. Math. 196, Birkhäuser (2001) 375–395 [doi:10.1007/978-3-0348-8312-2_23, arXiv:math/9907073]

   • Jeremy Miller: Nonabelian Poincaré duality after stabilizing, Trans. Amer. Math. Soc. 367 (2015) 1969-1991 [doi:2015-367-03/S0002-9947-2014-06186-2, arXiv:1209.2773]

   • Sadok Kallel: Particle Spaces on Manifolds and Generalized Poincaré Dualities, Quarterly J. Math. 52 1 (2001) 45–70 [doi:10.1093/qjmath/52.1.45, arXiv:math/9810067]

   diff, v6, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeNov 13th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Jacob Lurie]], §3.8 in: *Derived Algebraic Geometry VI: $\mathbb{E}_k$ Algebras* &lbrack;[arXiv:0911.0018](https://arxiv.org/abs/0911.0018)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/nonabelian+Poincar%C3%A9+duality/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/nonabelian+Poincar%C3%A9+duality/7">v7</a>, <a href="https://ncatlab.org/nlab/show/nonabelian+Poincar%C3%A9+duality">current</a>

   added pointer to:

   • Jacob Lurie, §3.8 in: Derived Algebraic Geometry VI: $\mathbb{E}_k$ Algebras [arXiv:0911.0018]

   diff, v7, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeNov 13th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexand pointer to: * [[David Ayala]], [[John Francis]], §4 in: *Factorization homology of topological manifolds*, Journal of Topology **8** 4 (2015) 1045-1084 &lbrack;[arXiv:1206.5522](https://arxiv.org/abs/1206.5522), [doi:10.1112/jtopol/jtv028](https://doi.org/10.1112/jtopol/jtv028)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/nonabelian+Poincar%C3%A9+duality/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/nonabelian+Poincar%C3%A9+duality/8">v8</a>, <a href="https://ncatlab.org/nlab/show/nonabelian+Poincar%C3%A9+duality">current</a>

   and pointer to:

   • David Ayala, John Francis, §4 in: Factorization homology of topological manifolds, Journal of Topology 8 4 (2015) 1045-1084 [arXiv:1206.5522, doi:10.1112/jtopol/jtv028]

   diff, v8, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeNov 13th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexand this one: * [[Foling Zou]], §4 in: *A geometric approach to equivariant factorization homology and nonabelian Poincaré duality*, Math. Z. **303** 98 (2023) &lbrack;[arXiv:2008.08234](https://arxiv.org/abs/2008.08234), [doi:10.1007/s00209-023-03253-2](https://doi.org/10.1007/s00209-023-03253-2)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/nonabelian+Poincar%C3%A9+duality/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/nonabelian+Poincar%C3%A9+duality/8">v8</a>, <a href="https://ncatlab.org/nlab/show/nonabelian+Poincar%C3%A9+duality">current</a>

   and this one:

   • Foling Zou, §4 in: A geometric approach to equivariant factorization homology and nonabelian Poincaré duality, Math. Z. 303 98 (2023) [arXiv:2008.08234, doi:10.1007/s00209-023-03253-2]

   diff, v8, current