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Manuel Rivera

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Votes Activity Newest Views Added
211
votes
11
answers
22k
views

Refereeing a Paper [closed]

soft-question math-communication journals
Oct 10 '10 at 14:12 Orr Shalit 308
179
votes
46
answers
23k
views

Books you would like to read (if somebody would just write them…)

big-list books
Sep 13 at 3:37 A413 403
140
votes
13
answers
16k
views

Why is the fundamental group of a compact Riemann surface not free ?

at.algebraic-topology
Feb 7 '19 at 19:11 LSpice 5,123
120
votes
7
answers
15k
views

Homotopy groups of Lie groups

at.algebraic-topology lie-groups
Jan 8 '17 at 13:17 evgeny 1,900
112
votes
15
answers
39k
views

A learning roadmap for algebraic geometry

ag.algebraic-geometry
Sep 18 '17 at 23:13 mathematics2x2life 101
89
votes
10
answers
19k
views

Motivation for algebraic K-theory?

at.algebraic-topology algebraic-k-theory motivation kt.k-theory-and-homology
Jun 14 '11 at 14:25 Anil P 91
87
votes
9
answers
32k
views

Is Mac Lane still the best place to learn category theory?

at.algebraic-topology reference-request ct.category-theory higher-category-theory textbook-recommendation
Feb 15 '18 at 7:46 Martin Sleziak 4,257
82
votes
6
answers
11k
views

Is there a high-concept explanation for why “simplicial” leads to “homotopy-theoretic”?

homotopy-theory simplicial-stuff
Jun 2 '17 at 2:26 Colectivo 15
77
votes
3
answers
10k
views

Intuitive explanation for the Atiyah-Singer index theorem

vector-bundles kt.k-theory-and-homology differential-operators characteristic-classes index-theory
Jun 10 '17 at 9:47 Ali Taghavi 779
72
votes
7
answers
9k
views

Cubical vs. simplicial singular homology

at.algebraic-topology
Feb 20 '20 at 15:23 Ronnie Brown 11.5k
69
votes
21
answers
21k
views

How should one present curl and divergence in an undergraduate multivariable calculus class?

dg.differential-geometry big-list mathematics-education
Aug 31 '19 at 2:10 Gerry Myerson 34.4k
68
votes
9
answers
11k
views

understanding Steenrod squares

at.algebraic-topology gn.general-topology stable-homotopy 20-questions steenrod-algebra
Jul 12 at 17:26 Robert Bruner 3,188
68
votes
4
answers
15k
views

Do we still need model categories?

model-categories homotopy-theory higher-category-theory
Jan 21 '17 at 17:06 Community♦ 1
66
votes
3
answers
8k
views

Cohomology and fundamental classes

cohomology gn.general-topology dg.differential-geometry
Mar 16 at 23:18 Mozibur Ullah 1,041
61
votes
4
answers
8k
views

Hirzebruch's motivation of the Todd class

generating-functions at.algebraic-topology
Feb 6 '20 at 17:41 Mattia Coloma 482
61
votes
1
answer
2k
views

Stiefel–Whitney classes in the spirit of Chern-Weil

characteristic-classes dg.differential-geometry
Mar 12 '13 at 16:22 Community♦ 1
56
votes
12
answers
22k
views

Algebraic Topology Beyond the Basics: Any Texts Bridging The Gap?

at.algebraic-topology textbook-recommendation
Jan 28 '20 at 23:39 Nubok 103
56
votes
11
answers
8k
views

Why is the exterior algebra so ubiquitous?

exterior-algebra dg.differential-geometry rt.representation-theory supersymmetry
Sep 21 '15 at 13:16 Community♦ 1
54
votes
5
answers
5k
views

Does homology have a coproduct?

at.algebraic-topology gn.general-topology homology
Dec 18 '19 at 15:30 Andrew Stacey 24.3k
54
votes
3
answers
14k
views

What is Koszul duality?

homological-algebra koszul-duality ct.category-theory
Nov 27 '09 at 23:59 Ilya Nikokoshev 13.4k
49
votes
10
answers
11k
views

Definition of “simplicial complex”

at.algebraic-topology
Apr 30 '13 at 12:51 Andrew Ranicki 3,621
47
votes
4
answers
10k
views

Explanation for the Chern character

cohomology characteristic-classes kt.k-theory-and-homology at.algebraic-topology
Jun 7 '18 at 13:05 Michael Albanese 14.4k
46
votes
8
answers
9k
views

Is there a preferable convention for defining the wedge product?

smooth-manifolds linear-algebra ac.commutative-algebra exterior-algebra
Mar 16 '19 at 13:45 Michael_1812 311
43
votes
9
answers
6k
views

Nice proofs of the Poincaré–Birkhoff–Witt theorem

lie-algebras rt.representation-theory
Mar 6 '19 at 18:06 Community♦ 1
41
votes
6
answers
10k
views

Why are local systems and representations of the fundamental group equivalent

reference-request at.algebraic-topology ag.algebraic-geometry
Feb 7 '16 at 13:04 RP_ 4,642
41
votes
2
answers
6k
views

Intuition for coends

ct.category-theory intuition
Mar 19 '14 at 22:19 Anton Fetisov 4,520
41
votes
7
answers
5k
views

Why should I care about Heegaard-Floer theory?

gt.geometric-topology heegaard-floer-homology
Oct 20 '12 at 19:24 John Pardon 16.7k
40
votes
4
answers
12k
views

What is Chern-Simons theory?

chern-simons-theory quantum-field-theory topological-quantum-field-theory mp.mathematical-physics
Jul 23 '14 at 7:59 TY1 121
39
votes
6
answers
5k
views

What is geometrically the Pontryagin class?

dg.differential-geometry characteristic-classes
Apr 3 '16 at 20:56 მამუკა ჯიბლაძე 15k
36
votes
5
answers
3k
views

Is there an explicit construction of a free coalgebra?

ra.rings-and-algebras adjoint-functors coalgebras
Apr 13 '18 at 1:29 darij grinberg 28.5k
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