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First to answer and accepted with score of 10 or more. This badge can be awarded multiple times.

earned this badge 33 times.
Small knots becoming isotopic after connect sum
Awarded Jan 19, 2023 at 17:10
Kervaire-Milnor group of homotopy spheres and smooth Poincaré conjecture
Awarded Aug 18, 2022 at 22:51
Universal cover with one end
Awarded Apr 8, 2022 at 6:05
Characteristic class that cannot be represented by disjoint tori
Awarded Feb 21, 2021 at 21:35
Atiyah-Singer for Riemannian and Kaehler manifolds
Awarded Oct 31, 2020 at 13:41
Are the Morse inequalities sharp for 5-manifolds
Awarded Oct 25, 2020 at 18:18
Cohomology of $G_3(\mathbb{R}^5)$
Awarded Oct 10, 2020 at 14:31
Smooth structure on direct product
Awarded Sep 30, 2020 at 12:27
Solutions of PDE under changing topology
Awarded May 13, 2020 at 23:01
A counter-example for the reversed direction of Casson-Gordon's theorem
Awarded Jan 4, 2020 at 15:50
Non-trivial examples of Stably diffeomorphic 4-manifolds
Awarded Nov 8, 2018 at 0:05
What can we say about the Cartesian product of a manifold with its exotic copy?
Awarded Aug 23, 2018 at 20:45
Thom conjecture in CP3
Awarded Jul 25, 2018 at 12:40
Acyclic Finite Groups
Awarded Jan 31, 2018 at 23:32
What is the status of the 4-dimensional Smale Conjecture?
Awarded Oct 31, 2017 at 20:10
Is $\pi_{n-1}$ of a non-trivial connected sum of $n$-manifolds always non-zero?
Awarded Oct 12, 2017 at 1:17
Does the smooth manifold $\#_{l}CP^{2}\#_{k}(-CP^{2})$ admit a symplectic structure?
Awarded Jun 24, 2017 at 13:47
A simple and good reference on surgery theory
Awarded Apr 24, 2017 at 4:41
$S^3$ as cyclic branched cover of itself
Awarded Aug 15, 2016 at 15:10
Thorough reference on regular homotopy
Awarded May 21, 2016 at 16:58
Is there a Nash-type theorem for symplectic manifolds?
Awarded May 9, 2016 at 23:23
Is the normal bundle of a torus trivial?
Awarded Apr 28, 2016 at 14:28
Homology spheres and fundamental group
Awarded Jul 10, 2015 at 11:23
Classification of higher dimensional manifolds
Awarded Jul 9, 2015 at 22:05
Can a homology $n-1$-sphere divide $\mathbb{S}^{n}$ into non-contractible components?
Awarded Jun 26, 2015 at 12:21
What are Kirby diagrams of candidate exotic 4-manifolds?
Awarded Jun 8, 2015 at 22:21
Is every degree 1 self-map a homotopy equivalence?
Awarded Jan 23, 2015 at 14:57
Does the cohomology after Dehn surgery depend only on the original 3-manifold or also how the knot is situated?
Awarded Apr 30, 2014 at 16:58
How can gauge theory techniques be useful to study when topological manifolds can be triangulated?
Awarded Mar 24, 2014 at 3:16
Topological rigidity for negatively curved manifolds?
Awarded Jan 25, 2014 at 11:38
Is this sphere bundle over SL3/SO3 trivial?
Awarded Jan 7, 2014 at 17:46
Does Dehn filling always decrease Gromov norm?
Awarded Sep 26, 2013 at 12:38
Handlebody decomposition of an open 4-manifold
Awarded May 5, 2012 at 2:50

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