scholarly journals Mapping degrees between spherical $ 3$-manifolds

2017 ◽  
Vol 208 (10) ◽  
pp. 1449-1472 ◽  
Author(s):  
D L Gonçalves ◽  
P Wong ◽  
X Zhao
Keyword(s):  
2019 ◽  
Vol 35 (12) ◽  
pp. 1979-1982
Author(s):  
Xiao Ming Du ◽  
Xue Zhi Zhao
Keyword(s):  

Topology ◽  
1978 ◽  
Vol 17 (2) ◽  
pp. 131-142
Author(s):  
Hans Joachim Baues

2016 ◽  
Vol 103 (3) ◽  
pp. 289-312
Author(s):  
ÐORÐE B. BARALIĆ

We study the set$D(M,N)$of all possible mapping degrees from$M$to$N$when$M$and$N$are quasitoric$4$-manifolds. In some of the cases, we completely describe this set. Our results rely on Theorems proved by Duan and Wang and the sets of integers obtained are interesting from the number theoretical point of view, for example those representable as the sum of two squares$D(\mathbb{C}P^{2}\sharp \mathbb{C}P^{2},\mathbb{C}P^{2})$or the sum of three squares$D(\mathbb{C}P^{2}\sharp \mathbb{C}P^{2}\sharp \mathbb{C}P^{2},\mathbb{C}P^{2})$. In addition to the general results about the mapping degrees between quasitoric 4-manifolds, we establish connections between Duan and Wang’s approach, quadratic forms, number theory and lattices.


2018 ◽  
Vol 35 ◽  
pp. 39-44 ◽  
Author(s):  
Timothy F.H. Allen ◽  
Preston Austin ◽  
Mario Giampietro ◽  
Zora Kovacic ◽  
Edmond Ramly ◽  
...  

2009 ◽  
Vol 9 (3) ◽  
pp. 1727-1749 ◽  
Author(s):  
Pierre Derbez ◽  
Shicheng Wang

Sign in / Sign up

Export Citation Format

Share Document