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):  
Mapping Degrees

scholarly journals Erratum to “On Self-mapping Degrees of S3-geometry Manifolds”

2019 ◽  
Vol 35 (12) ◽  
pp. 1979-1982
Author(s):  
Xiao Ming Du ◽  
Xue Zhi Zhao
Keyword(s):  
Mapping Degrees

scholarly journals Mapping degrees and products of spheres

Topology ◽  
1978 ◽  
Vol 17 (2) ◽  
pp. 131-142
Author(s):  
Hans Joachim Baues
Keyword(s):  
Products Of Spheres ◽  
Mapping Degrees

ON INTEGERS OCCURRING AS THE MAPPING DEGREE BETWEEN QUASITORIC 4-MANIFOLDS

2016 ◽  
Vol 103 (3) ◽  
pp. 289-312
Author(s):  
ÐORÐE B. BARALIĆ
Keyword(s):  
Number Theory ◽  
Quadratic Forms ◽  
Point Of View ◽  
Theoretical Point ◽  
Mapping Degree ◽  
Mapping Degrees

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.

Mapping degrees of complexity, complicatedness, and emergent complexity

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

scholarly journals Finiteness of mapping degrees andPSL(2,R)–volume on graph manifolds

2009 ◽  
Vol 9 (3) ◽  
pp. 1727-1749 ◽  
Author(s):  
Pierre Derbez ◽  
Shicheng Wang
Keyword(s):  
Graph Manifolds ◽  
Mapping Degrees
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