User Greg Friedman

35 votes

What (if anything) happened to Intersection Homology?

answered Jun 8, 2010 at 4:59

31 votes

References for sign conventions in homological algebra

answered Jan 26, 2011 at 6:34

29 votes

Short exact sequences every mathematician should know

answered Jun 22, 2020 at 3:54

19 votes

Accepted

Two points of view about Borel-moore homology

answered Sep 8, 2016 at 12:13

16 votes

So what exactly are perverse sheaves anyway?

answered Dec 30, 2019 at 5:36

15 votes

Accepted

Any shortcuts to understanding the properties of the Riemannian manifolds which are used in the books on algebraic topology

answered Jan 6, 2021 at 11:35

14 votes

Singular Homology/Cohomology as a derived functor?

answered May 30, 2011 at 1:51

12 votes

Geometric meaning of L-genus

answered Mar 2, 2012 at 0:31

11 votes

Which journals publish expository work?

answered Jul 9, 2010 at 3:07

10 votes

Exotic smooth structures on Lie groups?

answered Dec 18, 2015 at 8:15

9 votes

Integral homology classes that can be represented by immersed submanifolds but not embedded submanifolds

answered Aug 2, 2023 at 7:11

9 votes

Stratified pseudomanifold

answered Jun 3, 2011 at 22:36

8 votes

Is intersection homology the usual homology of something else?

answered Dec 3, 2010 at 1:45

8 votes

Cobordism categories that don't involve manifolds

answered Mar 28, 2011 at 21:08

8 votes

Accepted

Singular analog of cellular homology

answered Jul 22, 2011 at 7:18

7 votes

When is a finite cw-complex a compact topological manifold?

answered Feb 18, 2012 at 20:09

7 votes

worked out examples in borel-moore homology

answered Mar 16, 2014 at 15:37

7 votes

What are examples when the equality of some invariants is good enough in algebraic topology?

answered Sep 21, 2015 at 5:09

7 votes

Computing Massey products via intersection theory

answered Jun 25, 2021 at 0:20

6 votes

If $H_i(U_j)=0$ for infinitely many $j$ then $H_i(X)=0$

answered Nov 6, 2021 at 10:42

6 votes

How to deal with an advisor that offers you nearly no advising at all?

answered Sep 30, 2020 at 1:10

6 votes

A recommendation for a book on perverse sheaves

answered May 10, 2020 at 7:17

6 votes

Are there non-contractible spaces $A$ and $B$ such that $A \wedge B$ is contractible?

answered Sep 23, 2015 at 23:17

6 votes

"Correct" definition of stratified spaces and reference for constructible sheaves?

answered Jan 10, 2017 at 6:29

6 votes

Modern source for spectra (including ring spectra)

answered Nov 23, 2011 at 21:09

6 votes

How should a homotopy theorist think about sheaf cohomology?

answered Jul 21, 2010 at 1:41

6 votes

Is there a reference containing standard mathematical notations?

answered Jul 24, 2010 at 0:19

6 votes

Accepted

references / general idea of kervaire invariant problem

answered Jul 25, 2010 at 6:25

5 votes

Where to start with research regarding maslov index/class

answered Aug 9, 2011 at 19:12

5 votes

Where can I see the proof that the homology groups of the Moore Complex of a simplicial group coincide with the homotopy groups of its geometric realization?

answered Mar 9, 2012 at 6:34

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64 Answers

What (if anything) happened to Intersection Homology?

References for sign conventions in homological algebra

Short exact sequences every mathematician should know

Two points of view about Borel-moore homology

So what exactly are perverse sheaves anyway?

Any shortcuts to understanding the properties of the Riemannian manifolds which are used in the books on algebraic topology

Singular Homology/Cohomology as a derived functor?

Geometric meaning of L-genus

Which journals publish expository work?

Exotic smooth structures on Lie groups?

Integral homology classes that can be represented by immersed submanifolds but not embedded submanifolds

Stratified pseudomanifold

Is intersection homology the usual homology of something else?

Cobordism categories that don't involve manifolds

Singular analog of cellular homology

When is a finite cw-complex a compact topological manifold?

worked out examples in borel-moore homology

What are examples when the equality of some invariants is good enough in algebraic topology?

Computing Massey products via intersection theory

If $H_i(U_j)=0$ for infinitely many $j$ then $H_i(X)=0$

How to deal with an advisor that offers you nearly no advising at all?

A recommendation for a book on perverse sheaves

Are there non-contractible spaces $A$ and $B$ such that $A \wedge B$ is contractible?

"Correct" definition of stratified spaces and reference for constructible sheaves?

Modern source for spectra (including ring spectra)

How should a homotopy theorist think about sheaf cohomology?

Is there a reference containing standard mathematical notations?

references / general idea of kervaire invariant problem

Where to start with research regarding maslov index/class

Where can I see the proof that the homology groups of the Moore Complex of a simplicial group coincide with the homotopy groups of its geometric realization?