User Zhaoting Wei

7 votes

1 answer

420 views

How does the kernel of the map $\Omega^{\bullet}(X)\rightarrow \Omega^{\bullet}(G\times X)$ relate to equivariant cohomology?

asked May 1, 2014 at 21:51

7 votes

0 answers

167 views

How to characterize the class of $(\mathfrak{g},K)$-modules with a fixed lowest K-type in the framework of D-modules?

asked Feb 24, 2015 at 4:36

7 votes

2 answers

3k views

How to define the equivalence of Maurer-Cartan elements in an $L_{\infty}$-algebra?

asked Aug 30, 2012 at 5:22

7 votes

0 answers

918 views

Is the Springer resolution a blow-up?

asked Jul 12, 2012 at 4:13

7 votes

3 answers

1k views

Is there a "by hand" proof on the symmetry of the Atiyah class of $TX$?

asked Sep 9, 2013 at 22:37

7 votes

2 answers

418 views

About the map $S(\mathfrak{g}^ * )^G\rightarrow S(\mathfrak{h}^ * )^H$ for $H < G$

asked Sep 17, 2012 at 15:13

7 votes

1 answer

651 views

[Reference Request] The Definition of Adjoint Functors between dg-categories

asked Sep 23, 2012 at 5:52

7 votes

2 answers

3k views

Does a fully faithful functor always preserve limits and colimits?

asked Sep 1, 2020 at 17:46

7 votes

0 answers

199 views

Is $\text{DGA}^{-}$ a monoidal model category?

asked Sep 26, 2018 at 2:10

7 votes

0 answers

97 views

Is the double orthogonal of a localizing Serre subcategory still a localizing Serre subcategory?

asked Nov 14, 2018 at 2:43

7 votes

0 answers

139 views

Could we extend the star product on a Poisson manifold from its ring of smooth functions to its de Rham complex?

asked Jun 1, 2017 at 22:25

7 votes

1 answer

220 views

Is $C^{\infty}(E)$ a projective Frechet $C^{\infty}(M)$-module for a $C^{\infty}$-fiber bundle $E\to M$ with compact fiber?

asked Jul 1, 2018 at 8:55

6 votes

1 answer

309 views

Does the Dwyer-Kan model structure make dgCat a model $2$-category?

asked Dec 20, 2018 at 16:12

6 votes

0 answers

171 views

Could we characterize injective objects in the category of $G$-equivariant sheaves?

asked Jan 7, 2019 at 20:16

6 votes

1 answer

224 views

Is the existence of $A_{\infty}$-inverse a consequence of Homotopy Transfer Theorem?

asked Feb 10, 2019 at 19:09

6 votes

0 answers

169 views

How to realize the descent data of Qcoh as a (pseudo)-limit in Cat?

asked Oct 21, 2015 at 5:25

6 votes

2 answers

337 views

Do $RHom(C,D)$ and $DG(C,D)$ have equivalent homotopy categories?

asked Jan 28, 2016 at 4:43

6 votes

2 answers

1k views

Is there a compact generated triangulated category which does not have a compact generator?

asked Jul 15, 2016 at 14:28

6 votes

2 answers

331 views

Where to find the proof that these two version of simplicial homotopy are equivalent?

asked Mar 28, 2017 at 21:09

6 votes

1 answer

342 views

What is Mumford's example of a normal complex algebraic surface $X$ with non-torsion elements in $H^2_{et}(X,\mathbb{G}_m)$?

asked Feb 12, 2017 at 21:38

6 votes

1 answer

253 views

Is the hom in derived category of a dg-algebra compatible with base field extension?

asked Dec 29, 2016 at 0:29

6 votes

1 answer

400 views

Does the vanishing of the Poisson bracket on $S(\mathfrak{g})^{\mathfrak{g}}$ inspire the disover of Duflo's isomorphism theorem?

asked Apr 15, 2013 at 5:49

6 votes

0 answers

207 views

The meaning of a "subcomplex" of the Cartan-Eilenberg of a Lie algebra

asked Aug 8, 2012 at 5:48

6 votes

1 answer

204 views

Do we have the Oka coherence theorem for finite group actions?

asked Dec 15, 2021 at 21:55

6 votes

0 answers

138 views

Does homotopy equivalence between deformations of cochain complexes imply gauge equivalence?

asked Jun 23, 2023 at 20:40

6 votes

0 answers

126 views

How obtain the right definition of smooth elements in a $C^*$-algebra?

asked Jul 30 at 17:40

5 votes

1 answer

252 views

Does a compact Lie group action on a family of compact manifolds have diffeomorphic fixed point submanifolds?

asked Jul 5, 2022 at 15:55

5 votes

0 answers

121 views

How to see $\delta_2(\hat{\chi}(V))=\chi(V)$ in differential cohomology?

asked Nov 19, 2022 at 23:10

5 votes

1 answer

677 views

What kind of algebra has geometric realization as in "Geometric Methods in Representation Theory of Hecke Algebras and Quantum Groups"

asked Jul 9, 2012 at 4:44

5 votes

1 answer

223 views

What is the role of $\sum (-1)^p[\wedge^pT^*M]$ in the K-theory $K(M)$

asked Jul 21, 2012 at 3:41

Stack Exchange Network

168 Questions

How does the kernel of the map $\Omega^{\bullet}(X)\rightarrow \Omega^{\bullet}(G\times X)$ relate to equivariant cohomology?

How to characterize the class of $(\mathfrak{g},K)$-modules with a fixed lowest K-type in the framework of D-modules?

How to define the equivalence of Maurer-Cartan elements in an $L_{\infty}$-algebra?

Is the Springer resolution a blow-up?

Is there a "by hand" proof on the symmetry of the Atiyah class of $TX$?

About the map $S(\mathfrak{g}^ * )^G\rightarrow S(\mathfrak{h}^ * )^H$ for $H < G$

[Reference Request] The Definition of Adjoint Functors between dg-categories

Does a fully faithful functor always preserve limits and colimits?

Is $\text{DGA}^{-}$ a monoidal model category?

Is the double orthogonal of a localizing Serre subcategory still a localizing Serre subcategory?

Could we extend the star product on a Poisson manifold from its ring of smooth functions to its de Rham complex?

Is $C^{\infty}(E)$ a projective Frechet $C^{\infty}(M)$-module for a $C^{\infty}$-fiber bundle $E\to M$ with compact fiber?

Does the Dwyer-Kan model structure make dgCat a model $2$-category?

Could we characterize injective objects in the category of $G$-equivariant sheaves?

Is the existence of $A_{\infty}$-inverse a consequence of Homotopy Transfer Theorem?

How to realize the descent data of Qcoh as a (pseudo)-limit in Cat?

Do $RHom(C,D)$ and $DG(C,D)$ have equivalent homotopy categories?

Is there a compact generated triangulated category which does not have a compact generator?

Where to find the proof that these two version of simplicial homotopy are equivalent?

What is Mumford's example of a normal complex algebraic surface $X$ with non-torsion elements in $H^2_{et}(X,\mathbb{G}_m)$?

Is the hom in derived category of a dg-algebra compatible with base field extension?

Does the vanishing of the Poisson bracket on $S(\mathfrak{g})^{\mathfrak{g}}$ inspire the disover of Duflo's isomorphism theorem?

The meaning of a "subcomplex" of the Cartan-Eilenberg of a Lie algebra

Do we have the Oka coherence theorem for finite group actions?

Does homotopy equivalence between deformations of cochain complexes imply gauge equivalence?

How obtain the right definition of smooth elements in a $C^*$-algebra?

Does a compact Lie group action on a family of compact manifolds have diffeomorphic fixed point submanifolds?

How to see $\delta_2(\hat{\chi}(V))=\chi(V)$ in differential cohomology?

What kind of algebra has geometric realization as in "Geometric Methods in Representation Theory of Hecke Algebras and Quantum Groups"

What is the role of $\sum (-1)^p[\wedge^pT^*M]$ in the K-theory $K(M)$