User Ho Man-Ho

13 votes

1 answer

593 views

Embedding Riemannian manifolds into some infinite dimensional manifolds?

asked Sep 9, 2018 at 12:18

6 votes

1 answer

1k views

Kunneth formula for de Rham cohomology twisted by flat vector bundle

asked Jul 2, 2016 at 7:06

5 votes

1 answer

415 views

The formula for a perhaps basic identity (move from stackexchange)

asked Nov 1, 2014 at 15:51

5 votes

0 answers

143 views

Local family index theorem, but with Chern class?

asked Jul 18, 2017 at 15:51

5 votes

1 answer

228 views

Orientation bundle and its flat connection

asked May 18, 2023 at 15:16

4 votes

1 answer

361 views

Comments and reference-request on books for KK-theory

asked Oct 22, 2021 at 9:59

4 votes

1 answer

108 views

Some questions about the definition of Chern classes in Cheeger--Simons differential characters

asked Dec 16, 2023 at 18:21

4 votes

0 answers

104 views

category of vector bundles with connections and its K-theory

asked Feb 2 at 15:48

4 votes

0 answers

290 views

Various definitions of the odd Chern character form

asked Jun 18, 2016 at 17:38

4 votes

2 answers

618 views

filtration in K-theory and ordinary cohomology

asked Oct 22, 2013 at 11:45

4 votes

0 answers

281 views

Cohomology of the classifying space of some Super Lie group

asked Sep 9, 2015 at 8:21

3 votes

1 answer

339 views

derivative of the adiabatic limit of the eta invariant

asked Jun 12, 2015 at 17:14

3 votes

0 answers

470 views

Understanding the domain of the "volume density function" on Riemannian manifold

asked Jun 2, 2018 at 10:36

3 votes

0 answers

82 views

Some questions on defining the analytic index

asked Dec 22, 2018 at 8:06

3 votes

0 answers

75 views

A confusion about an assumption in the setting of the local family index theorem

asked Sep 14, 2022 at 17:29

3 votes

0 answers

509 views

Research directions in complex differential geometry

asked Oct 1, 2022 at 20:16

2 votes

1 answer

211 views

A question on the ring structure of topological K-theory and Chern character

asked Mar 7, 2019 at 13:34

2 votes

2 answers

281 views

Segre class of smooth vector bundles over smooth manifolds?

asked Nov 2, 2013 at 13:26

2 votes

2 answers

864 views

A question about flat connection

asked Feb 21, 2016 at 14:30

2 votes

1 answer

84 views

A random question on the local family index theorem

asked Apr 7, 2016 at 16:22

2 votes

0 answers

104 views

Multiplicativity of the analytic index (or of kernel bundle)

asked Jul 10, 2016 at 16:24

2 votes

0 answers

161 views

Chern character (form) of a Gauss-Manin connection

asked Jul 16, 2016 at 15:39

1 vote

0 answers

81 views

Ring structure for $K^{-1}$?

asked May 28, 2014 at 9:30

1 vote

0 answers

100 views

Serre-Swan theorem for infinite rank Frechet or Hilbert bundles?

asked Jul 29, 2020 at 17:40

1 vote

1 answer

224 views

A question about possibly $\infty$-category or functors

asked Aug 27, 2021 at 9:48

1 vote

0 answers

82 views

Possibility of defining Chern character form in terms of odd Chern Character form?

asked Feb 27, 2019 at 15:22

1 vote

1 answer

184 views

On the definition of smooth fiber bundle and smooth manifolds with boundary

asked Jul 28, 2023 at 5:11

1 vote

0 answers

84 views

The curvature of the induced connection on the antidual bundle

asked Sep 10, 2023 at 10:33

1 vote

0 answers

75 views

Does the local family index theorem hold for compact manifolds with corners?

asked Feb 26 at 19:29

1 vote

0 answers

29 views

A question related to the local family index theorem without the kernel bundle assumption

asked May 6 at 4:05

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37 Questions

Embedding Riemannian manifolds into some infinite dimensional manifolds?

Kunneth formula for de Rham cohomology twisted by flat vector bundle

The formula for a perhaps basic identity (move from stackexchange)

Local family index theorem, but with Chern class?

Orientation bundle and its flat connection

Comments and reference-request on books for KK-theory

Some questions about the definition of Chern classes in Cheeger--Simons differential characters

category of vector bundles with connections and its K-theory

Various definitions of the odd Chern character form

filtration in K-theory and ordinary cohomology

Cohomology of the classifying space of some Super Lie group

derivative of the adiabatic limit of the eta invariant

Understanding the domain of the "volume density function" on Riemannian manifold

Some questions on defining the analytic index

A confusion about an assumption in the setting of the local family index theorem

Research directions in complex differential geometry

A question on the ring structure of topological K-theory and Chern character

Segre class of smooth vector bundles over smooth manifolds?

A question about flat connection

A random question on the local family index theorem

Multiplicativity of the analytic index (or of kernel bundle)

Chern character (form) of a Gauss-Manin connection

Ring structure for $K^{-1}$?

Serre-Swan theorem for infinite rank Frechet or Hilbert bundles?

A question about possibly $\infty$-category or functors

Possibility of defining Chern character form in terms of odd Chern Character form?

On the definition of smooth fiber bundle and smooth manifolds with boundary

The curvature of the induced connection on the antidual bundle

Does the local family index theorem hold for compact manifolds with corners?

A question related to the local family index theorem without the kernel bundle assumption