List of publications

Preprints

1. A general algorithm for convex fair partitions of convex polygons (j.w. M. Campillo and M.A. Gonzalez-Lima) Preprint Research Square, https://doi.org/10.21203/rs.3.rs-3276690/v1

2. Oriented and unitary equivariant bordism of surfaces, (j.w. A. Angel, E. Samperton and C. Segovia) arXiv:2111.02693. Accepted for publication in A&GT.

3. Orbifold Topological Quantum Field Theories in Dimension 2, (j.w. A. Gonzalez, E. Lupercio and C. Segovia)

Published in Journals (Topological Phases of Matter)

1. Spin Weyl Topological Insulators (j.w. R. Gonzalez) Phys. Rev. B 109, 045126 (2024)

2. Axion insulators protected by C2T symmetry, their K-theory invariants, and material realization  (j.w. R. González and C. Pinilla) Phys. Rev. B 106, 195144, (2022)

3. Quasinodal spheres and the spin Hall effect: The case of YH3 and CaTe, (j.w. R. González and C. Pinilla) Phys. Rev.   B 106 (12), 125135 (2022)

4. Quasi-nodal lines in rhombohedral magnetic materials, (j.w. R. González and E. Tuirán) Phys. Rev. B 104 (20), 205128 (2021)

5. Chiralities of nodal points along high symmetry lines with screw rotation symmetry (j.w. R. González and E. Tuirán) Phys. Rev. B 103, 235143 – (2021)

6. Topological electronic structure and Weyl points in nonsymmorphic hexagonal materials (j.w. R. González and E. Tuiran), Phys. Rev. Materials 4, 124203 (2020)

Published in Journals (Optimization)

1. An algorithmic approach to convex fair partitions of convex polygons, (j.w. M. Campillo and M. Gonzalez) MethodsX 12, 1012530 (2024)

Published in Journals (Algebraic Topology)

1.   Pontrjagin duality on multiplicative Gerbes (j.w. J. Blanco and K. Waldorf) J. Noncommut. Geom. 17 (2023), 1469–1520

2. Classification of pointed fusion categories of dimension p3 up to weak Morita equivalence. (j.w. K. Maya and A. Mejía) J. Algebra Appl. 20 (2021), no. 1, 2140008, 23 pp.

3.  Nearly Frobenius algebras. (j.w. A. Gonzalez, E. Lupercio, C. Segovia) Eur. J. Math. 5 (2019), no. 3, 881–902.

4. The evenness conjecture in equivariant unitary bordism. Proceedings of the International Congress of Mathematicians—Rio de Janeiro 2018. Vol. II. Invited lectures, 1217–1239, World Sci. Publ., Hackensack, NJ, 2018

5. Equivariant complex bundles, fixed points and equivariant unitary bordism, (j.w. A. Ángel & J. Gómez) Algebraic & Geometric Topology 18 (2018) 4001–4035

6. Segal's Spectral Sequence in Twisted Equivariant K-theory for proper and discrete actions, (j.w. N. Barcenas, J. Espinoza and M. Velasquez) Proc. Edinb. Math. Soc. (2) 61 (2018), no. 1, 121–150. 

7. Classification of Pointed Fusion Categories of dimension 8 up to weak Morita Equivalence, (j.w. Álvaro Muñoz), Communications in Algebra (2018), 

8. On the Classification of Pointed Fusion Categories up to weak Morita Equivalence , Pacific Journal of Mathematics, 290 (2017), no. 2, 437–466 .

9. A decomposition of equivariant K-theory in twisted equivariant K-theories, (j.w. J. Gómez)  Int. J. Math. 28, 1750016 (2017) 

10. Topological properties of spaces of projective unitary representations , (j.w. J. Espinoza) Rev. Acad. Colombiana Cienc. Exact. Fís. Natur. 40 (2016), no. 155, 337–352

11. Multiplicative Structures on the Twisted K-theory over Finite Groups, (j.w. C. Galindo and I. Gutierrez), Journal of Noncommutative Geometry 9 (2015), 877-937. doi: 10.4171/JNCG/211

12. On the equivarant De Rham cohomology for non-compact Lie groups, (j.w. Camilo Arias Abad) Differential Geometry and its Applications 39 (2015) pp. 184-189

13. Topological properties of the unitary group (j.w. J. Espinoza) JP Journal of Geometry and Topology, 16 N. 1 (2014), pp. 45-55

14. Equivariant principal bundles and their classifying spaces, (j.w. W. Lueck) Algebraic and Geometric Topology 14 (2014) 1925–1995.

15. T-duality and exceptional generalized geometry through symmetries of dg-manifolds, (j.w. E. Lupercio and C. Rengifo) J. Geom. Phys. 83 (2014), 82–98.

16. Universal twist in Equivariant K-theory for proper and discrete actions, (j.w. N. Barcenas, J. Espinoza and M. Joachim) Proc. London Math. Soc. (2014) 108 (5): 1313-1350

17. Group actions on dg-manifolds and Exact Courant Algebroids, Communications in Mathematical Physics: Volume 318, Issue 1 (2013), Page 35-67

18. Hochschild cohomology and string topology of global quotient orbifolds, (j.w. A. Angel and E. Backelin), Journal of Topology 5 (2012) 593--638.

19. Chern - Weil homomorphism in twisted equivariant cohomology, (j.w. A. Caviedes and S. Hu), Differential Geom. Appl. 28 (2010), no. 1, 65--80

20. Extended manifolds and extended equivariant cohomology (j.w. S. Hu), J. Geom. Phys. 59 (2009), no. 1, 104--131

21. Stringy orbifold product in K-theory for abelian global quotients, (j.w. Edward Becerra), Trans. Amer. Math. Soc. 361 (2009), no. 11, 5781--5803

22. Orbifold String Topology (w. E. Lupercio, M. Xicotencatl) Geometry and Topology 12 (2008) No. 4, 2203--2248

23. Orbifold Virtual Cohomology of the Symmetric Product (j.w. David Riveros), Bulletin of the Mexican Mathematical Society. 3a. Serie Volumen 14 Numero 1, 2008

24. Chen-Ruan Cohomology of cotangent orbifolds and Chas-Sullivan String Topology (j.w. A. Gonzalez, E. Lupercio, C. Segovia, M. Xicotencatl) Math. Res. Lett. 14 (2007), no. 3, 491--501.

25. The loop orbifold of the symmetric product (w. E. Lupercio, M. Xicotencatl) J. of Pure and Applied Algebra 211 (2007) 293-306.

26. Stringy Chern classes of singular varieties (w. T. de Fernex, E. Lupercio, T. Nevins). Advances in Mathematics Volume 208, Issue 2 , 30 January 2007, Pages 597-621

27. Holonomy for Gerbes over Orbifolds (w. E. Lupercio). Journal of Geometry and Physics 56 (2006), no. 9 , 1534--1560

28. Orbifold cohomology of the symmetric product. Comm. Anal. Geom. 13 (2005), no. 1, 113--128.

29. An introduction to gerbes on orbifolds (w. E. Lupercio). Ann. Math. Blaise Pascal 11 (2004), no. 2, 155--180.

30. Inertia orbifolds, configuration spaces and the ghost loop space (w. E. Lupercio). Q. J. Math. 55 (2004), no. 2, 185--201.

31. Gerbes over orbifolds and twisted $K$-theory (w. E. Lupercio). Comm. Math. Phys. 245 (2004), no. 3, 449--489.

Published in Proceedings of Conferences

1. Equivariant extensions of differential forms for non-compact Lie groups, (j.w. H. Garcia-Compean and P. Paniagua) "The influence of Solomon Lefschetz in Geometry and Topology, 50 years of Mathematics at CINVESTAV". Contemp. 19--33, Math. 621, Amer. Math. Soc., Providence, RI, 2014.

2. Topological Quantum Field Theories, Strings, and Orbifolds (w. E. Lupercio) Geometric and topological methods for quantum field theory, 73--98, Contemp. Math., 434, Amer. Math. Soc., Providence, RI, 2007.

3. A Localization Principle for Orbifold Theories (w. T. de Fernex, E. Lupercio, T. Nevins). Recent developments in algebraic topology, 113--133, Contemp. Math., 407, Amer. Math. Soc., Providence, RI, 2006.

4. Differential Characters on Orbifolds and String Connections (w. E. Lupercio) Gromov-Witten theory of spin curves and orbifolds, 127--142, Contemp. Math., 403, Amer. Math. Soc., Providence, RI, 2006.

5. Deligne cohomology for orbifolds, discrete torsion and B-fields (w. E. Lupercio). Geometric and topological methods for quantum field theory (Villa de Leyva, 2001), 468--482, World Sci. Publishing, River Edge, NJ, 2003.

6. Loop groupoids, gerbes, and twisted sectors on orbifolds (w. E. Lupercio). Orbifolds in mathematics and physics (Madison, WI, 2001), 163--184, Contemp. Math., 310, Amer. Math. Soc., Providence, RI, 2002.