# Questions tagged [mirror-symmetry]

Use for questions about mirror symmetry in theoretical/mathematical physics. Associate with [tag:mathematical-physics] if necessary.

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### Find mirror value of an alternating function.

Let: $$g(2n) = f(2n) + c$$ $$g(2n-1) = -f(2n-1) + c$$ $$n \in \Bbb{N}$$ Known: $g(x)$ Unknown: $f(x)$, $c$ $$c = ?$$ Image: How to calculate $c$, is there any useful math property ? I will apriciate ...
0answers
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### Mirror Symmetry References

For someone comfortable with Hartshorne's book chapters 2 and 3 which references would be good to learn mirror symmetry (specially the homological flavor), GW invariants and related problems? I intend ...
0answers
45 views

### Unambiguous geometry terms for specific kinds of circular symmetry

I'm writing a paper on asymmetries in the human visual system and want to ensure that I am using correct/unambiguous terminology to describe the asymmetries in question. Unfortunately, I've had ...
1answer
32 views

### Pre-calc algebraic method for predicting symmetry

I am looking for an algorithm that can be used on any equation that contains polynomials containing x and y to determine if reflective or rotational symmetries exist. If it is possible, I would like a ...
0answers
27 views

### What is this kind of symmetry called?

What is the formal way to describe an object that has reflection symmetry about two orthogonal axes? For instance, any rectangle is symmetric about the axis parallel to its long edge, and also the one ...
0answers
213 views

### How graduate students get to work in homological mirror symmetry

My question is probably an odd one here but I would very much like to work in Homological Mirror Symmetry. An example of a course I'd like to be able to take and understand is https://faculty.math....
0answers
40 views

### Size of image in plane mirror?

It is said that the size of an image in a plane mirror is the same as the original object . How can this be true if by ray diagrams the mirror height only needs to be 1/2 the height of the object to ...
1answer
88 views

### Find Reflection of A point with respect to a line mirror in 3D

I need to find the reflection of point $P(1,2,3)$ w.r.t line mirror $(x-1)/2 =(y-1)/3 = (z+1)/1$ I know one method to do it i.e by first finding the foot of perpendicular of P on the line by using ...
0answers
7 views

### Point Group of a basic cell within a TV Frieze group

Unfortunately my lecturer refuses to reply to emails so I need to ask this question here so I can hopefully clear some things up. I also don't know how standard the notation we are learning is so I ...
0answers
26 views

### Genus of a curve? (Mirror Symmetry book)

I'm reading Chapter 6 of Mirror Symmetry book. In Example 6.1.1 "A degree 3 polynomial f in $\mathbb P^2$ determines a curve of genus $g = \binom{3−1}{2} = 1$ that has the structure (induced from ...
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3answers
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### Areas of contemporary Mathematical Physics

I have often heard that some developments in Physics such as Gauge Theory, String Theory, Twistor Theory, Loop Quantum Gravity etc. have had a significant impact on pure mathematics especially ...
1answer
213 views

### Construction of virtual class at Homological Mirror Symmetry

In Homological Mirror Symmetry it is necessary to integrate cohomology class at stable moduli. For this, we can define virtual dimension that stable moduli space should have, and at moduli defined at ...
1answer
691 views

### Reference for Fukaya Categories and Homological Mirror Symmetry

What references are there for learning Fukaya categories (specifically, good references for self-study)? In addition, any references with an eye toward homological mirror symmetry would be greatly ...
2answers
1k views

### Reference request: toric geometry

What is a good book on algebraic geometry, with focus on toric varieties, similar both in the philosophy and in the prestige of the authors to Modern Geometric Structures and Fields by Novikov and ...
1answer
2k views

### Mathematics and Physics prerequisites for mirror symmetry

I am a physics undergrad interested in Mathematical Physics. I am more interested in the mathematical side of things, and interested to solve problems in mathematics inspired by physics maybe with the ...
1answer
330 views

### About Homological Mirror Symmetry

Why in homological mirror symmetry, we restrict us to a projective variety (Calabi-Yau manifold)? Because in physics we don't need this condition. What's the general picture for general Calabi-Yau ...