User Zhaoting Wei

5 votes

2 answers

924 views

Could we define the semi-direct product of two universal enveloping algebras?

asked Sep 19, 2013 at 17:57

5 votes

1 answer

427 views

Does $\text{Mat}_n(k)$ have some universal properties similar to its universal enveloping algebra?

asked Sep 17, 2013 at 18:16

5 votes

0 answers

614 views

Does the higher cohomology of a quasi-coherent sheaf on a Stein manifold vanish?

asked Mar 28, 2015 at 3:38

5 votes

1 answer

421 views

Could we extend the exact sequence $K^0(X)\to K_0(X)\to K_0(D_{sg}(X))\to 0$ to the left?

asked Apr 26, 2015 at 22:51

5 votes

1 answer

314 views

Is the dual of a compact generator also a compact generator of the derived category of a variety?

asked Jan 26, 2017 at 4:03

5 votes

2 answers

581 views

Can we define fundamental groups functorially for non-pointed path connected topological spaces?

asked Nov 28, 2019 at 21:07

5 votes

2 answers

285 views

Is $C^{\infty}(M)$ a projective Frechet $C^{\infty}(N)$-module for a smooth map $M\to N$ between compact smooth manifolds?

asked Jun 30, 2018 at 3:05

5 votes

0 answers

82 views

Does $\Lambda^2_{+}$ generate a differential ideal for a self-dual $4$-manifold?

asked Aug 29, 2018 at 15:01

4 votes

0 answers

229 views

Will the transgression formula for superconnections give back the transgression formula of connections?

asked Mar 25, 2018 at 3:59

4 votes

0 answers

105 views

Could we form the homotopy category of a dg-category by inverting homotopic invertible morphisms?

asked Dec 28, 2018 at 16:51

4 votes

0 answers

175 views

Do we have criteria of strict localization of a Grothendieck category?

asked Dec 7, 2018 at 21:10

4 votes

0 answers

194 views

Do we have $D^b_{coh}(X)\simeq D^b(coh(X))$ for a compact complex manifold $X$?

asked Dec 18, 2019 at 3:54

4 votes

1 answer

206 views

Can we have a nontrivial division of a irreducible root system as the union of two closed sub-root systems?

asked Oct 1, 2019 at 16:55

4 votes

0 answers

155 views

Is one of the hyperplane partitions of a irreducible root system always generate the whole Weyl group?

asked Oct 2, 2019 at 19:49

4 votes

0 answers

161 views

Do we have classical Riemann-Hilbert correspondence for infinite dimensional flat vector bundles?

asked Feb 8, 2017 at 15:33

4 votes

0 answers

349 views

Does derived equivalence imply dg Morita equivalence between DG algebras over field with char$=0$?

asked Jul 30, 2016 at 9:51

4 votes

0 answers

445 views

When do we have $D_{\text{perf}}(\text{Qcoh}(X))\simeq D_{\text{perf}}(X)$?

asked Mar 23, 2015 at 4:20

4 votes

2 answers

799 views

What are the "tensor-closed" object of the BGG category $\mathcal{O}$ of a semisimple Lie algebra $\mathfrak{g}$?

asked Jul 14, 2015 at 15:25

4 votes

2 answers

522 views

Equivariant K-theory of $S^1$-action on $S^2$

asked Nov 4, 2012 at 6:32

4 votes

2 answers

830 views

The relation between the heat kernel on the principal bundle and the heat kernel on the base manifold

asked Jun 5, 2013 at 7:00

4 votes

1 answer

325 views

About the term "tangential derivation" on a free Lie algebra.

asked Jul 22, 2012 at 4:43

4 votes

0 answers

324 views

The proof of the splitting principle in equivariant K-theory via flag manifolds

asked Jul 29, 2012 at 1:37

4 votes

1 answer

342 views

A question on the proof of $D^b(coh(X))\simeq D^b_{coh}(Qcoh(X))$

asked Dec 22, 2019 at 4:31

4 votes

0 answers

291 views

Has anyone studied the derived category of Higgs sheaves?

asked Nov 10, 2023 at 23:42

4 votes

1 answer

275 views

What are the norms of the generators of the standard Podleś sphere?

asked Jul 28 at 2:58

3 votes

1 answer

91 views

Does the right adjoint of a comonad induce the following comodule map?

asked Apr 5, 2021 at 15:58

3 votes

1 answer

107 views

Do we have an equivariant version of integrability theorem of flat connections?

asked Jan 30, 2023 at 5:08

3 votes

1 answer

173 views

Can we define $\partial\bar{\partial}(\log|z_1|^2)\wedge \partial\bar{\partial}(\log|z_2|^2)$ as a current?

asked Apr 6, 2023 at 20:17

3 votes

1 answer

173 views

Do we have $d(P_{+}(\omega\wedge \theta))=d_{+}\omega\wedge \theta-\omega\wedge d_{+}\theta$ on a self-dual manifold?

asked May 14, 2023 at 15:56

3 votes

1 answer

217 views

What is the definition of "the $L_\infty$ part of a $G_\infty$ morphism"?

asked Jul 8, 2012 at 2:52

Stack Exchange Network

168 Questions

Could we define the semi-direct product of two universal enveloping algebras?

Does $\text{Mat}_n(k)$ have some universal properties similar to its universal enveloping algebra?

Does the higher cohomology of a quasi-coherent sheaf on a Stein manifold vanish?

Could we extend the exact sequence $K^0(X)\to K_0(X)\to K_0(D_{sg}(X))\to 0$ to the left?

Is the dual of a compact generator also a compact generator of the derived category of a variety?

Can we define fundamental groups functorially for non-pointed path connected topological spaces?

Is $C^{\infty}(M)$ a projective Frechet $C^{\infty}(N)$-module for a smooth map $M\to N$ between compact smooth manifolds?

Does $\Lambda^2_{+}$ generate a differential ideal for a self-dual $4$-manifold?

Will the transgression formula for superconnections give back the transgression formula of connections?

Could we form the homotopy category of a dg-category by inverting homotopic invertible morphisms?

Do we have criteria of strict localization of a Grothendieck category?

Do we have $D^b_{coh}(X)\simeq D^b(coh(X))$ for a compact complex manifold $X$?

Can we have a nontrivial division of a irreducible root system as the union of two closed sub-root systems?

Is one of the hyperplane partitions of a irreducible root system always generate the whole Weyl group?

Do we have classical Riemann-Hilbert correspondence for infinite dimensional flat vector bundles?

Does derived equivalence imply dg Morita equivalence between DG algebras over field with char$=0$?

When do we have $D_{\text{perf}}(\text{Qcoh}(X))\simeq D_{\text{perf}}(X)$?

What are the "tensor-closed" object of the BGG category $\mathcal{O}$ of a semisimple Lie algebra $\mathfrak{g}$?

Equivariant K-theory of $S^1$-action on $S^2$

The relation between the heat kernel on the principal bundle and the heat kernel on the base manifold

About the term "tangential derivation" on a free Lie algebra.

The proof of the splitting principle in equivariant K-theory via flag manifolds

A question on the proof of $D^b(coh(X))\simeq D^b_{coh}(Qcoh(X))$

Has anyone studied the derived category of Higgs sheaves?

What are the norms of the generators of the standard Podleś sphere?

Does the right adjoint of a comonad induce the following comodule map?

Do we have an equivariant version of integrability theorem of flat connections?

Can we define $\partial\bar{\partial}(\log|z_1|^2)\wedge \partial\bar{\partial}(\log|z_2|^2)$ as a current?

Do we have $d(P_{+}(\omega\wedge \theta))=d_{+}\omega\wedge \theta-\omega\wedge d_{+}\theta$ on a self-dual manifold?

What is the definition of "the $L_\infty$ part of a $G_\infty$ morphism"?