Modulo Z2 Invariant: What is it?

  • Context: Graduate 
  • Thread starter Thread starter tayyaba aftab
  • Start date Start date
  • Tags Tags
    Invariant
Click For Summary

Discussion Overview

The discussion revolves around the concept of "modulo" in relation to Z2 invariants, exploring the meaning and implications of modulo 2 in this context.

Discussion Character

  • Conceptual clarification

Main Points Raised

  • One participant asks about the meaning of "modulo" associated with Z2 invariants.
  • Another participant requests clarification on the initial question, indicating a lack of understanding.
  • A participant expresses confusion about the term "modulo 2" and its relevance to Z2 invariants.
  • One response explains that "modulo 2" refers to considering numbers that differ by multiples of two as equivalent, suggesting a binary classification.
  • It is noted that this results in two possible values: 0 or 1.

Areas of Agreement / Disagreement

The discussion shows some participants seeking clarification and others providing explanations, but there is no consensus on a deeper understanding of the implications of modulo 2 in the context of Z2 invariants.

tayyaba aftab
Messages
20
Reaction score
0
what is modulo associated with z2 invariant?
 
Physics news on Phys.org
I don't think I understand your question, can you rephrase/be more specific?
 
i alwyas read word "modulo 2" while reading z2 invariants.
i don't know what does that mean
so asked about that:frown:
 
That means even or odd.

More precisely, modulo 2 means that we are considering two numbers differing by a multiple of two as the same.
 
That is, it can be either 0 or 1.
 

Similar threads

Graduate Calculating the Z2 Invariant in Kane-Mele Model
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Exploring the Role of Z2 Invariant and Edge States in Topological Insulators
  • · Replies 3 ·
Replies
3
Views
4K
Graduate Translation-invariant systems and binary functions of spatial variables
  • · Replies 10 ·
Replies
10
Views
3K
Graduate Is the 2-qubit singlet state invariant under bilateral projections?
  • · Replies 8 ·
Replies
8
Views
1K
Graduate What is this unitary invariant?
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Lorentz Invariance?
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad Principle of relativity in the proof of invariance of interval
  • · Replies 53 ·
2
Replies
53
Views
6K
High School What theorems are available when using modulo arithmetic?
  • · Replies 11 ·
Replies
11
Views
2K
High School Wavefunction and Lorentz Invariance
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad What, exactly, are invariants?
  • · Replies 144 ·
5
Replies
144
Views
12K