nLab Thomas Fiore

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Selected writings

On a Thomason model structure on n-categories:

• Thomas M. Fiore, Simona Paoli, A Thomason model structure on the category of small $n$-fold categories, Algebr. Geom. Topol. 10 4 (2010) 1933-2008 [arXiv:0808.4108, doi:10.2140/agt.2010.10.1933]

On model structures on DblCat:

• Thomas M. Fiore, Simona Paoli, Dorette A. Pronk, Model structures on the category of small double categories, Algebraic & Geometric Topology 8 (2008) 1855–1959 [doi:10.2140/agt.2008.8.1855]

• Thomas Fiore, Simona Paoli, A Thomason model structure on the category of small $n$-fold categoriesAlgebraic & Geometric Topology 10 (2010) 1933–2008 [doi:10.2140/agt.2010.10.1933]

On Euler characteristics of categories and homotopy colimits:

• Thomas M. Fiore, Wolfgang Lück, Roman Sauer, Euler Characteristics of Categories and Homotopy Colimits [arXiv:1007.3868]

See also:

• Thomas M. Fiore, Nicola Gambino, and Joachim Kock. Monads in Double Categories. To appear in the Journal of Pure and Applied Algebra. 31 pages. arXiv:1006.0797

• Thomas M. Fiore, Wolfgang Lück, and Roman Sauer. Finiteness obstructions and Euler characteristics of categories. 87 pages. arxiv:0908.3417

• Thomas M. Fiore and Igor Kriz. What is the Jacobian of a Riemann Surface with Boundary?. Proceedings of the 2007 Max-Planck Workshop on Hochschild and Cyclic (co-)homology and Applications to Geometry and Physics, Aspects of Mathematics, Viehweg, Braunschweig. 27 pages. arXiv:math/0610463

• Thomas M. Fiore, Simona Paoli, and Dorette Pronk. Model Structures on the Category of Small Double Categories. Algebraic and Geometric Topology, Volume 8, Number 4, pages 1855–1959, 2008. 103 pages.

• Thomas M. Fiore, Po Hu, and Igor Kriz. Laplaza Sets, or How to Select Coherence Diagrams for Pseudo Algebras. Advances in Mathematics, Volume 218, Number 6, pages 1705-1722, 2008. 17 pages.

• Alissa Crans, Thomas M. Fiore, and Ramon Satyendra. Musical Actions of Dihedral Groups. American Mathematical Monthly, Volume 116, Number 6, June-July 2009, pp. 479-495. 17 pages.

• Thomas M. Fiore. Pseudo Algebras and Pseudo Double Categories. Journal of Homotopy and Related Structures, Volume 2, Number 2, pages 119-170, 2007. 51 pages.

• Thomas M. Fiore. On the Cobordism and Commutative Monoid with Cancellation Approaches to Conformal Field Theory. Journal of Pure and Applied Algebra, Volume 209 Number 3, pages 583-620, 2007. 37 pages.

• Thomas M. Fiore. Pseudo Limits, Biadjoints, and Pseudo Algebras: Categorical Foundations of Conformal Field Theory. Memoirs of the American Mathematical Society 182 (2006), no. 860. 171 pages. math.CT/0408298

• Thomas M. Fiore and Ramon Satyendra. Generalized Contextual Groups. Music Theory Online, Volume 11, Number 3, September 2005. 29 pages. Free article on MTO website

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