Projection of crosscap
نویسندگان
چکیده
منابع مشابه
Crosscap Numbers of Two-component Links
We define the crosscap number of a 2-component link as the minimum of the first Betti numbers of connected, nonorientable surfaces bounding the link. We discuss some properties of the crosscap numbers of 2-component links.
متن کاملConcordance Crosscap Number of a Knot
We define the concordance crosscap number of a knot as the minimum crosscap number among all the knots concordant to the knot. The four-dimensional crosscap number is the minimum first Betti number of non-orientable surfaces smoothly embedded in 4-dimensional ball, bounding the knot. Clearly the 4-dimensional crosscap number is smaller than or equal to the concordance crosscap number. We constr...
متن کاملCrosscap States for Orientifolds of Euclidean AdS3
We propose the crosscap states for orientifolds of Euclidean AdS3. We show that our crosscap states reproduce the geometry of orientifolds, which is AdS2. The spectral density of open strings in the system with orientifold can be read from the Möbius strip amplitudes and is compared to that of the open strings stretched between branes and their mirrors. We also compute the Klein bottle amplitud...
متن کاملBounds on the Crosscap Number of Torus Knots
For a torus knot K, we bound the crosscap number c(K) in terms of the genus g(K) and crossing number n(K): c(K) ≤ ⌊(g(K) + 9)/6⌋ and c(K) ≤ ⌊(n(K)+16)/12⌋. The (6n− 2, 3) torus knots show that these bounds are sharp.
متن کاملCrosscap states in N = 2 Liouville theory
We construct crosscap states in the N = 2 Liouville theory from the modular bootstrap method. We verify our results by comparing it with the calculation from the minisuperspace approximation and by checking the consistency with the conformal bootstrap equation. Various overlaps with other known branes are studied. We further discuss the topological nature of the discrete terms in the crosscap w...
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2019
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887819501305