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annie marie cœur
  • Member for 7 years
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16 votes
2 answers
2k views

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

7 votes
1 answer
1k views

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

19 votes
1 answer
1k views

Anomaly in QFT physics v.s. determinant line bundle

9 votes
1 answer
903 views

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

10 votes
2 answers
835 views

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

14 votes
1 answer
565 views

Obstruction of spin-c structure and the generalized Wu manifods

8 votes
1 answer
439 views

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

3 votes
1 answer
413 views

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

9 votes
1 answer
409 views

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

5 votes
1 answer
406 views

Classification of fibrations for classifying spaces $B^2\mathbb{Z}_2$ and $BSO(3)$ or $BO(3)$

5 votes
1 answer
401 views

Statements related to Thurston's work on the surface

2 votes
1 answer
399 views

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

7 votes
1 answer
382 views

Pontryagin square and $\frac{1}{2}(\mathcal{P}(x) -x^2) =x \cup_1 Sq^1 x$

7 votes
0 answers
373 views

$U(1)$ v.s. $SU(N)$ v.s. $SO(N)$ instantons

4 votes
0 answers
373 views

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

4 votes
1 answer
349 views

(Co)bordism invariant of Eilenberg–MacLane space becomes vanished

8 votes
1 answer
349 views

Euclidean and Minkowski Majorana spinors - inconsistency with Wikipedia Table

3 votes
0 answers
311 views

Discrete spectrum of Dirac operator

5 votes
1 answer
277 views

Interesting properties in $...\to K(\mathbb{Z}_4,1) \overset{f}{\to} K(\mathbb{Z}_2,1)\overset{g}{\to}K(\mathbb{Z}_2,2) \to ...$

5 votes
1 answer
270 views

Manifold generators of O-bordism invariants

0 votes
1 answer
261 views

Anti-symmetric operators for the Dirac or Majorana spinors

2 votes
0 answers
239 views

Automorphisms group of complex and real simple Lie algebras

4 votes
0 answers
237 views

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

6 votes
0 answers
216 views

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

2 votes
0 answers
216 views

Moduli space is a Calabi-Yau manifold?

3 votes
0 answers
210 views

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

3 votes
1 answer
189 views

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

3 votes
0 answers
181 views

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

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

3 votes
0 answers
173 views

Pontryagin square on spin and non-spin manifold