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 definitions 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 k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum 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
   • CommentTimeSep 19th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarted to compile a list of references ([here](https://ncatlab.org/nlab/show/flat+infinity-connection#ReferencesFlatInfinityVectorBundles)) on [[infinity-local systems|$\infty$-local systems]] in the sense of [[(infinity,1)-vector bundles|$(\infty,1)$-vector bundles]] with [[flat infinity-connections|flat $\infty$-connections]]. (But I got interrupted all day, hope to add more tomorrow...) <a href="https://ncatlab.org/nlab/revision/diff/flat+infinity-connection/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/flat+infinity-connection/9">v9</a>, <a href="https://ncatlab.org/nlab/show/flat+infinity-connection">current</a>

   started to compile a list of references (here) on $\infty$-local systems in the sense of $(\infty,1)$-vector bundles with flat $\infty$-connections.

   (But I got interrupted all day, hope to add more tomorrow…)

   diff, v9, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 4th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded these pointers: * [[Bertrand Toën]], *Vers une interprétation galoisienne de la théorie de l'homotopie*, Cahiers de Topologie et Géométrie Différentielle Catégoriques **43** 4 (2002) 257-312 &lbrack;[numdam:CTGDC_2002__43_4_257_0](http://www.numdam.org/item/?id=CTGDC_2002__43_4_257_0)&rbrack; * [[Pietro Polesello]], [[Ingo Waschkies]], *Higher monodromy*, Homology, Homotopy and Applications **7** 1 (2005) 109-150 &lbrack;[arXiv:0407507](http://arxiv.org/abs/math/0407507), [eudml:51918](https://eudml.org/doc/51918)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/flat+infinity-connection/14">diff</a>, <a href="https://ncatlab.org/nlab/revision/flat+infinity-connection/14">v14</a>, <a href="https://ncatlab.org/nlab/show/flat+infinity-connection">current</a>

   added these pointers:

   • Bertrand Toën, Vers une interprétation galoisienne de la théorie de l’homotopie, Cahiers de Topologie et Géométrie Différentielle Catégoriques 43 4 (2002) 257-312 [numdam:CTGDC_2002__43_4_257_0]

   • Pietro Polesello, Ingo Waschkies, Higher monodromy, Homology, Homotopy and Applications 7 1 (2005) 109-150 [arXiv:0407507, eudml:51918]

   diff, v14, current