nLab Constantin Teleman

• website

Selected writings

On a de Rham theorem for algbraic $\infty$-stacks via an infinitesimal shape modality realizing the de Rham stack:

• Carlos Simpson, Constantin Teleman, deRham theorem for $\infty$-stacks (1997) [pdf, pdf]

On twisted equivariant K-theory with an eye towards twisted ad-equivariant K-theory:

• Daniel Freed, Michael Hopkins, Constantin Teleman, Twisted equivariant K-theory with complex coefficients, Journal of Topology, Volume 1, Issue 1

  (arXiv:math/0206257, doi:10.1112/jtopol/jtm001)

On twisted ad-equivariant K-theory of compact Lie groups and the identification with the Verlinde ring of positive energy representations of their loop group:

• Daniel S. Freed, Michael Hopkins, Constantin Teleman,

  1. Loop Groups and Twisted K-Theory I,

     J. Topology, 4 (2011), 737-789

     (arXiv:0711.1906, doi:10.1112/jtopol/jtr019)

  2. Loop Groups and Twisted K-Theory II,

     J. Amer. Math. Soc. 26 (2013), 595-644

     (arXiv:0511232, doi:10.1090/S0894-0347-2013-00761-4)

  3. Loop Groups and Twisted K-Theory III,

     Annals of Mathematics, Volume 174 (2011) 947-1007

     (arXiv:math/0312155, doi:10.4007/annals.2011.174.2.5)

• Daniel S. Freed, Constantin Teleman,

  Dirac families for loop groups as matrix factorizations,

  Comptes Rendus Mathematique, Volume 353, Issue 5, May 2015, Pages 415-419

  (arxiv/1409.6051, doi:10.1016/j.crma.2015.02.011)

On Gromov-Witten theory:

• Edward Frenkel, Constantin Teleman, A. J. Tolland, Gromov-Witten Gauge Theory I (arXiv)

On 2d TQFT:

• Constantin Teleman, The structure of 2D semi-simple field theories (arXiv:0712.0160)

On quantization of Dijkgraaf-Witten theory and Chern-Simons theory;

• Dan Freed, Mike Hopkins, Jacob Lurie, Constantin Teleman, Topological Quantum Field Theories from Compact Lie Groups

On string topology and TCFT:

• Andrew Blumberg, Ralph Cohen, Constantin Teleman, Open-closed field theories, string topology, and Hochschild homology (arXiv:0906.5198)

On TQFT:

• Constantin Teleman, Five lectures on topological field theory, in Geometry and Quantization of Moduli Spaces, CRM Advanced Courses in Mathematics, Birkhäuser (2016) [doi:10.1007/978-3-319-33578-0_3, pdf, pdf]

On quantum anomalies of gapped theories via invertible field theories:

• Clay Córdova, Daniel S. Freed, Constantin Teleman:

  Gapped theories have torsion anomalies [arXiv:2408.15148]

On a relation of extended 3d TQFT to lattice models for topological phases of matter (like the 3d toric code):

• Daniel S. Freed, Michael J. Hopkins, Constantin Teleman: Discrete quantum systems from topological field theory [arXiv:2506.05131]

category: people