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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
   • CommentTimeOct 23rd 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexDiscovered that we had this stub entry since 2014. Have adjusted the Idea-section and added a couple of original references. (Nothing yet on the recent revival of the topic.) Also cross-linked with *[[L-theory]]*, which is a stub as well. I guess I'll merge both entries. <a href="https://ncatlab.org/nlab/revision/diff/Hermitian+K-theory/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/Hermitian+K-theory/5">v5</a>, <a href="https://ncatlab.org/nlab/show/Hermitian+K-theory">current</a>

   Discovered that we had this stub entry since 2014.

   Have adjusted the Idea-section and added a couple of original references. (Nothing yet on the recent revival of the topic.)

   Also cross-linked with L-theory, which is a stub as well. I guess I’ll merge both entries.

   diff, v5, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeOct 24th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Max Karoubi]], [[Orlando Villamayor]], *K-théorie algébrique et K-théorie topologique II*, Math. Scand. **32** (1973) 57-86 &lbrack;[jstor:24490565](https://www.jstor.org/stable/24490565)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Hermitian+K-theory/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/Hermitian+K-theory/6">v6</a>, <a href="https://ncatlab.org/nlab/show/Hermitian+K-theory">current</a>

   added pointer to:

   • Max Karoubi, Orlando Villamayor, K-théorie algébrique et K-théorie topologique II, Math. Scand. 32 (1973) 57-86 [jstor:24490565]

   diff, v6, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeOct 24th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Hyman Bass]] (ed.), *Algebraic K-Theory III -- Hermitian K-Theory and Geometric Applications*, Lecture Notes in Mathematics **343** (1973) &lbrack;[doi:10.1007/BFb0061366](https://doi.org/10.1007/BFb0061366)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Hermitian+K-theory/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/Hermitian+K-theory/6">v6</a>, <a href="https://ncatlab.org/nlab/show/Hermitian+K-theory">current</a>

   added pointer to:

   • Hyman Bass (ed.), Algebraic K-Theory III – Hermitian K-Theory and Geometric Applications, Lecture Notes in Mathematics 343 (1973) [doi:10.1007/BFb0061366]

   diff, v6, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeOct 24th 2023
   • (edited Oct 24th 2023)
   • PermaLink
   Author: Urs
   Format: MarkdownItexpointers to topological Hermitian K-theory and relation to [[KR-theory]]: * [[Michael C. Crabb]], §9 of: *$\mathbb{Z}/2$-Homotopy Theory*, Lond. Math. Soc. Lecture Notes **44**, Cambridge University Press (1980) &lbrack;[ark:/13960/t3jx7bg4w](https://archive.org/details/zz2homotopytheor0000crab), [pdf](https://www.maths.ed.ac.uk/~v1ranick/papers/crabb.pdf)&rbrack; * [[Po Hu]], [[Igor Kriz]], Appendix of: *Topological Hermitian cobordism*, Journal of Homotopy and Related Structures **11** (2016) 173–197 &lbrack;[doi:10.1007/s40062-014-0100-9](https://doi.org/10.1007/s40062-014-0100-9)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Hermitian+K-theory/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/Hermitian+K-theory/7">v7</a>, <a href="https://ncatlab.org/nlab/show/Hermitian+K-theory">current</a>

   pointers to topological Hermitian K-theory and relation to KR-theory:

   • Michael C. Crabb, §9 of: $\mathbb{Z}/2$-Homotopy Theory, Lond. Math. Soc. Lecture Notes 44, Cambridge University Press (1980) [ark:/13960/t3jx7bg4w, pdf]

   • Po Hu, Igor Kriz, Appendix of: Topological Hermitian cobordism, Journal of Homotopy and Related Structures 11 (2016) 173–197 [doi:10.1007/s40062-014-0100-9]

   diff, v7, current