Nathan Geer

发表

Ambidextrous objects and trace functions for nonsemisimple categories

Nathan Geer, J. Kujawa, Bertrand Patureau-Mirand, 2011, 1106.4477.

3-Dimensional TQFTs from non-semisimple modular categories

Nathan Geer, Bertrand Patureau-Mirand, M. Renzi, 2019, Selecta Mathematica.

Non‐semisimple Levin–Wen models and Hermitian TQFTs from quantum (super)groups

Aaron D. Lauda, Nathan Geer, Bertrand Patureau-Mirand, 2022, Journal of the London Mathematical Society.

Etingof–Kazhdan quantization of Lie superbialgebras

Nathan Geer, 2004, math/0409563.

Pseudo-Hermitian Levin-Wen models from non-semisimple TQFTs

Aaron D. Lauda, Joshua Sussan, Nathan Geer, 2021, Annals of Physics.

A Hermitian TQFT from a non-semisimple category of quantum sl ( 2 ) -modules

Aaron D. Lauda, Joshua Sussan, Nathan Geer, 2021 .

Full dyon excitation spectrum in extended Levin-Wen models

Nathan Geer, Yuting Hu, Yong-Shi Wu, 2015, Physical Review B.

Modified symmetrized integral in $G$-coalgebras

Nathan Geer, Bertrand Patureau-Mirand, N. Ha, 2022, 2209.04691.

Modified graded Hennings invariants from unrolled quantum groups and modified integral

Nathan Geer, Bertrand Patureau-Mirand, N. Ha, 2020, 2006.12050.

Holonomy braidings, biquandles and quantum invariants of links with $$\mathsf {SL} _2(\mathbb {C} )$$ flat connections

Nathan Geer, Bertrand Patureau-Mirand, C. Blanchet, 2020, Selecta Mathematica.

Holonomy braidings, biquandles and quantum invariants of links with flat connections

Nathan Geer, Bertrand Patureau-Mirand, C. Blanchet, 2020 .

Holonomy braidings, biquandles and quantum invariants of links with $SL_2(\mathbb C)$ flat connections

Nathan Geer, Bertrand Patureau-Mirand, C. Blanchet, 2018, 1806.02787.

Holonomy braidings , biquandles and quantum invariants of links with SL 2 ( C ) flat connections

Nathan Geer, Bertrand Patureau-Mirand, C. Blanchet, 2018 .

Non semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants

Nathan Geer, Bertrand Patureau-Mirand, C. Blanchet, 2014, 1404.7289.

Topological invariants from nonrestricted quantum groups

Nathan Geer, Bertrand Patureau-Mirand, 2010, 1009.4120.

Compatibility of quantization functors of Lie bialgebras with duality and doubling operations

Nathan Geer, B. Enriquez, 2007, 0707.2337.

Modified Turaev-Viro invariants from quantum 𝔰𝔩(2|1)

Nathan Geer, Cristina Ana-Maria Anghel, 2017, Journal of Knot Theory and Its Ramifications.

On the Colored HOMFLY-PT, Multivariable and Kashaev Link Invariants

Nathan Geer, Bertrand Patureau-Mirand, 2007, 0711.4226.

The ADO Invariants are a q-Holonomic Family

Nathan Geer, S. Garoufalidis, J. Brown, 2020, 2005.08176.

Generalized trace and modified dimension functions on ribbon categories

Nathan Geer, J. Kujawa, Bertrand Patureau-Mirand, 2010, 1001.0985.

Mapping class group representations from non-semisimple TQFTs

Nathan Geer, Bertrand Patureau-Mirand, M. Renzi, 2020, Communications in Contemporary Mathematics.

M-traces in (Non-Unimodular) Pivotal Categories

Nathan Geer, J. Kujawa, Bertrand Patureau-Mirand, 2018, Algebras and Representation Theory.

Renormalized Reshetikhin-Turaev invariants for the unrolled quantum group of $\mathfrak{sl}_2(\mathbb{C})$

Nathan Geer, M. B. Young, A. Robertson, 2023, 2302.05529.

A QFT for non-semisimple TQFT

Thomas Creutzig, Nathan Geer, Tudor Dimofte, 2021, 2112.01559.

Relative (pre)-modular categories from special linear Lie superalgebras

Cristina Ana-Maria Anghel, Nathan Geer, Bertrand Patureau-Mirand, 2020, 2010.13759.

Nonsemisimple quantum invariants and TQFTs from small and unrolled quantum groups

Nathan Geer, Bertrand Patureau-Mirand, M. Renzi, 2018, Algebraic & Geometric Topology.

Renormalized Hennings Invariants and 2 + 1-TQFTs

Nathan Geer, Bertrand Patureau-Mirand, M. Renzi, 2017, Communications in Mathematical Physics.

The trace on projective representations of quantum groups

Nathan Geer, Bertrand Patureau-Mirand, 2016, 1610.09129.

Some remarks on the unrolled quantum group of sl(2)

Nathan Geer, Bertrand Patureau-Mirand, F. Costantino, 2014, 1406.0410.

Relations between Witten-reshetikhin-turaev and non semi-simple sl(2) 3-manifold invariants

Nathan Geer, Bertrand Patureau-Mirand, F. Costantino, 2013, 1310.2735.

Quantum invariants of 3‐manifolds via link surgery presentations and non‐semi‐simple categories

Nathan Geer, Bertrand Patureau-Mirand, F. Costantino, 2012, 1202.3553.

Modified quantum dimensions and re-normalized link invariants

V. Turaev, Nathan Geer, Bertrand Patureau-Mirand, 2007, Compositio Mathematica.

MULTIVARIABLE LINK INVARIANTS ARISING FROM LIE SUPERALGEBRAS OF TYPE I

Nathan Geer, Bertrand Patureau-Mirand, 2006, math/0609034.

Multivariable link invariants arising from sl(2|1) and the Alexander polynomial

Nathan Geer, Bertrand Patureau-Mirand, 2006, math/0601291.

Three dimensional topological quantum field theory from $U_q(\mathfrak{gl}(1 \vert 1))$ and $U(1 \vert 1)$ Chern--Simons theory

Nathan Geer, M. B. Young, 2022, 2210.04286.

Non semi-simple sl(2) quantum invariants, spin case

Nathan Geer, Bertrand Patureau-Mirand, C. Blanchet, 2014, 1405.3490.

M-traces in (Non-Unimodular) Pivotal Categories

Nathan Geer, J. Kujawa, Bertrand Patureau-Mirand, 2021, Algebras and Representation Theory.

Polynomial 6j–symbols and states sums

Nathan Geer, Bertrand Patureau-Mirand, 2009, 0911.1353.

Modified 6j-Symbols and 3-Manifold Invariants

V. Turaev, Nathan Geer, Bertrand Patureau-Mirand, 2009, 0910.1624.

Some remarks on relative modular categories

Nathan Geer, Bertrand Patureau-Mirand, Matthew Rupert, 2021, 2110.15518.

Renormalized Witten-Reshetikhin-Turaev invariants and m-traces associated to the special linear Lie superalgebra

Cristina Ana-Maria Anghel, Nathan Geer, Bertrand Patureau-Mirand, 2020 .

The Kontsevich integral and re-normalized link invariants arising from Lie superalgebras

Nathan Geer, 2009, 0904.0408.

An invariant supertrace for the category of representations of Lie superalgebras of type I

Nathan Geer, Bertrand Patureau-Mirand, 2007, 0711.4231.

Some remarks on quantized Lie superalgebras of classical type

Nathan Geer, 2005, math/0508440.

The Kontsevich integral and quantized Lie superalgebras

Nathan Geer, 2004, math/0411053.

Traces on ideals in pivotal categories

Nathan Geer, Bertrand Patureau-Mirand, A. Virelizier, 2011, 1103.1660.

Logarithmic Hennings invariants for restrictedquantum sl (2)

Nathan Geer, C. Blanchet, A. Beliakova, 2019 .

Logarithmic Hennings invariants for restricted quantum 𝔰𝔩(2)

Nathan Geer, C. Blanchet, A. Beliakova, 2017, Algebraic & Geometric Topology.

Monodromy of Trigonometric KZ Equations

Nathan Geer, P. Etingof, 2006, math/0611003.

Tetrahedral forms in monoidal categories and 3-manifold invariants

V. Turaev, Nathan Geer, R. Kashaev, 2010, 1008.3103.

Non compact (2+1)-TQFTs from non-semisimple spherical categories

Nathan Geer, Bertrand Patureau-Mirand, A. Virelizier, 2023, 2302.04509.

Skein (3+1)-TQFTs from non-semisimple ribbon categories

Nathan Geer, Bertrand Patureau-Mirand, F. Costantino, 2023, 2306.03225.

3-Dimensional TQFTs from non-semisimple modular categories

Nathan Geer, Bertrand Patureau-Mirand, M. Renzi, 2022, Selecta Mathematica.

Renormalized Hennings Invariants and 2 + 1-TQFTs

Nathan Geer, Bertrand Patureau-Mirand, Marco De Renzi, 2018, Communications in Mathematical Physics.

Admissible Skein Modules

Nathan Geer, Bertrand Patureau-Mirand, F. Costantino, 2023, 2302.04493.

Kuperberg and Turaev–Viro invariants in unimodular categories

V. Turaev, Nathan Geer, Bertrand Patureau-Mirand, 2018, 1809.07991.

Logarithmic Hennings invariants for restrictedquantum sl (2)

Nathan Geer, C. Blanchet, A. Beliakova, 2019 .

Non semi-simple TQFTs from unrolled quantum $sl(2)$

Nathan Geer, Bertrand Patureau-Mirand, C. Blanchet, 2016, 1605.07941.

Chromatic maps for finite tensor categories

Nathan Geer, Bertrand Patureau-Mirand, A. Virelizier, 2023, 2305.14626.

On Invariants of Graphs Related to Quantum $${\mathfrak {sl}(2)}$$ at Roots of Unity

Nathan Geer, N. Reshetikhin, Nathan Geer, 2009, 0904.0409.

G-links invariants, Markov traces and the semi-cyclic Uqsl2-modules

Nathan Geer, Bertrand Patureau-Mirand, 2013, 1303.4935.

The trace on projective representations of quantum groups

Nathan Geer, Bertrand Patureau-Mirand, 2017, Letters in Mathematical Physics.

UvA-DARE ( Digital Academic Repository ) Holonomy braidings , biquandles and quantum invariants of links with SL 2 ( C ) flat connections

Nathan Geer, Bertrand Patureau-Mirand, C. Blanchet, 2018 .