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.
   • CommentAuthorfpaugam
   • CommentTimeFeb 29th 2012
   • PermaLink
   Author: fpaugam
   Format: MarkdownItexI added two new important references on global analytic geometry, also due to Poineau. He shows there that the sheaf of analytic functions is coherent. This is an interesting fundamental result.

   I added two new important references on global analytic geometry, also due to Poineau. He shows there that the sheaf of analytic functions is coherent. This is an interesting fundamental result.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeFeb 29th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexThanks! Just so that people have the link: it's _[[global analytic geometry]]_.

   Thanks!

   Just so that people have the link: it’s global analytic geometry.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeNov 10th 2014
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have been touching some entries that Frederic Paugam has been writing these days: [[global+analytic+index+theory]], [[overconvergent+global+analytic+geometry]] So far I just touched the formatting and the cross-linking a little.

   I have been touching some entries that Frederic Paugam has been writing these days:

   global+analytic+index+theory, overconvergent+global+analytic+geometry

   So far I just touched the formatting and the cross-linking a little.

4. • CommentRowNumber4.
   • CommentAuthorDavid_Corfield
   • CommentTimeNov 11th 2014
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexCan you see how these entries may be made to fit with your cohesive approach to geometry?

   Can you see how these entries may be made to fit with your cohesive approach to geometry?

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeNov 11th 2014
   • (edited Nov 11th 2014)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI am looking into it. Just talked with Frederic about it. I don't know yet if there is cohesion. But Frederic explained to me that to make the complex-analytic [[universal Chern-Simons line 3-bundle]] (or any other) globally analytic, what one has to do is precisely to define its complex-analytic cocycle relative to a cover of strict polydiscs, of radius 1 and no other radius, as [here](http://ncatlab.org/nlab/show/overconvergent+global+analytic+geometry#BasicIdeas). That is the key application that I would want global analytic cohesion for. I'll look into this when I have a moment of leisure (this might take a bit).

   I am looking into it. Just talked with Frederic about it. I don’t know yet if there is cohesion.

   But Frederic explained to me that to make the complex-analytic universal Chern-Simons line 3-bundle (or any other) globally analytic, what one has to do is precisely to define its complex-analytic cocycle relative to a cover of strict polydiscs, of radius 1 and no other radius, as here.

   That is the key application that I would want global analytic cohesion for.

   I’ll look into this when I have a moment of leisure (this might take a bit).