User annie marie cœur

8 votes

1 answer

352 views

Euclidean and Minkowski Majorana spinors - inconsistency with Wikipedia Table

asked May 15, 2021 at 22:52

0 votes

0 answers

113 views

Dirac operator on a 5 dimensional tangent manifold with a $Spin(3)$-bundle

asked Apr 11, 2021 at 20:46

3 votes

0 answers

313 views

Discrete spectrum of Dirac operator

asked Apr 11, 2021 at 17:58

3 votes

0 answers

182 views

The first Stiefel Whitney class v.s. fermion eta invariant v.s. spin structure v.s. $H^1(M,\mathbb{Z}_2)$

asked Nov 26, 2020 at 19:06

8 votes

1 answer

440 views

Grothendieck group of the category of boundary conditions of topological field theory

asked Nov 26, 2020 at 16:53

5 votes

1 answer

402 views

Statements related to Thurston's work on the surface

asked Nov 21, 2020 at 2:09

4 votes

0 answers

239 views

Eigenvalues and eigenvectors of the exceptional simple Lie group E6, E7, E8

asked Nov 16, 2020 at 23:07

2 votes

0 answers

244 views

Automorphisms group of complex and real simple Lie algebras

asked Oct 11, 2020 at 1:10

3 votes

1 answer

190 views

Prove or disprove that there exists no $G$ structure with its bordism group $\Omega_1^{G} =\mathbb{Z}/N$ for $N>2$

asked Oct 1, 2020 at 22:45

2 votes

1 answer

405 views

Explicit automorphism map of ${\rm Spin}(8;\mathbb{R})$, ${\rm SO}(8;\mathbb{R})$, ${\rm PSO}(8;\mathbb{R})$

asked Sep 28, 2020 at 1:05

10 votes

2 answers

839 views

Non-isomorphic complex Lie groups with the same exceptional Lie algebra for $\mathfrak{g_2,f_4,e_6,e_7,e_8}$?

asked Aug 22, 2020 at 22:09

4 votes

0 answers

375 views

Comparison between spinor representations in $\operatorname{SL}(2,\mathbb C)=\operatorname{Spin}(1,3)$ and $\operatorname{Spin}(4)$

asked Jul 27, 2020 at 15:38

9 votes

1 answer

414 views

Langlands dual group in math vs. Goddard-Nyuts-Olive dual group in physics

asked May 29, 2020 at 23:17

3 votes

1 answer

413 views

Derive how the level quantization for 3d quantum Chern-Simons theory path integrals?

asked May 29, 2020 at 5:39

0 votes

1 answer

263 views

Anti-symmetric operators for the Dirac or Majorana spinors

asked May 28, 2020 at 2:49

19 votes

1 answer

1k views

Anomaly in QFT physics v.s. determinant line bundle

asked Apr 27, 2020 at 5:15

3 votes

0 answers

162 views

Representation R where the center of Spin group acts trivially on R

asked Dec 18, 2019 at 23:28

2 votes

0 answers

140 views

Spacetime symmetries

asked Sep 23, 2019 at 23:38

4 votes

0 answers

170 views

Borromean Lines of three $\mathbb{R}^1$ in $\mathbb{R}^3$ and analogous Milnor link invariants

asked Sep 11, 2019 at 18:28

16 votes

2 answers

2k views

Challenge: Non-Gaussian quartic integral and path integral in Quantum field theory

asked Sep 8, 2019 at 2:14

4 votes

0 answers

159 views

(Non-)Orientability of non-triangulable manifolds

asked Sep 5, 2019 at 0:06

3 votes

0 answers

211 views

Category of Manifolds and Maps: TOP $\supseteq$ TRI $\supseteq$ PL $\supseteq$ DIFF? [closed]

asked Jul 4, 2019 at 0:02

7 votes

1 answer

1k views

Automorphism group of the special unitary group $SU(N)$

asked May 1, 2019 at 3:45

5 votes

1 answer

177 views

Decompose $MT(E(d)\times_{\mathbb Z_2} SU(2))$ as the wedge sum or smash product of spectra

asked Apr 29, 2019 at 16:39

9 votes

1 answer

909 views

Use of Steenrod's higher cup product and the graded-commutativity

asked Mar 23, 2019 at 16:32

6 votes

0 answers

217 views

Arf-Brown-Kervaire invariant and a surjective map $G \to Pin^-$

asked Nov 19, 2018 at 23:03

8 votes

0 answers

125 views

Relating bordism generators in d and d+2 dimensions --- an explicit example

asked Nov 1, 2018 at 21:17

2 votes

1 answer

141 views

Extending the maps between the bordism groups: NONE exsistence of a certain kind of extended group

asked Nov 1, 2018 at 0:33

4 votes

0 answers

71 views

Relating bordism invairants in $d$ and $d+2$ dimensions

asked Oct 31, 2018 at 22:16

5 votes

1 answer

270 views

Manifold generators of O-bordism invariants

asked Oct 30, 2018 at 16:54

Stack Exchange Network

42 Questions

Euclidean and Minkowski Majorana spinors - inconsistency with Wikipedia Table

Dirac operator on a 5 dimensional tangent manifold with a $Spin(3)$-bundle

Discrete spectrum of Dirac operator

The first Stiefel Whitney class v.s. fermion eta invariant v.s. spin structure v.s. $H^1(M,\mathbb{Z}_2)$

Grothendieck group of the category of boundary conditions of topological field theory

Statements related to Thurston's work on the surface

Eigenvalues and eigenvectors of the exceptional simple Lie group E6, E7, E8

Automorphisms group of complex and real simple Lie algebras

Prove or disprove that there exists no $G$ structure with its bordism group $\Omega_1^{G} =\mathbb{Z}/N$ for $N>2$

Explicit automorphism map of ${\rm Spin}(8;\mathbb{R})$, ${\rm SO}(8;\mathbb{R})$, ${\rm PSO}(8;\mathbb{R})$

Non-isomorphic complex Lie groups with the same exceptional Lie algebra for $\mathfrak{g_2,f_4,e_6,e_7,e_8}$?

Comparison between spinor representations in $\operatorname{SL}(2,\mathbb C)=\operatorname{Spin}(1,3)$ and $\operatorname{Spin}(4)$

Langlands dual group in math vs. Goddard-Nyuts-Olive dual group in physics

Derive how the level quantization for 3d quantum Chern-Simons theory path integrals?

Anti-symmetric operators for the Dirac or Majorana spinors

Anomaly in QFT physics v.s. determinant line bundle

Representation R where the center of Spin group acts trivially on R

Spacetime symmetries

Borromean Lines of three $\mathbb{R}^1$ in $\mathbb{R}^3$ and analogous Milnor link invariants

Challenge: Non-Gaussian quartic integral and path integral in Quantum field theory

(Non-)Orientability of non-triangulable manifolds

Category of Manifolds and Maps: TOP $\supseteq$ TRI $\supseteq$ PL $\supseteq$ DIFF? [closed]

Automorphism group of the special unitary group $SU(N)$

Decompose $MT(E(d)\times_{\mathbb Z_2} SU(2))$ as the wedge sum or smash product of spectra

Use of Steenrod's higher cup product and the graded-commutativity

Arf-Brown-Kervaire invariant and a surjective map $G \to Pin^-$

Relating bordism generators in d and d+2 dimensions --- an explicit example

Extending the maps between the bordism groups: NONE exsistence of a certain kind of extended group

Relating bordism invairants in $d$ and $d+2$ dimensions

Manifold generators of O-bordism invariants