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Cosmology meets cohomology
The cosmological polytope and bootstrap programs have revealed interesting connections between positive geometries, modern on-shell methods and...
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Anomaly cancellation by generalised cohomology
Supersymmetric states in M-theory are mapped after compactification to perturbatively non-supersymmetric states in type IIA string theory, with the...
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From β to η: a new cohomology for deformed Sasaki-Einstein manifolds
We discuss in detail the different analogues of Dolbeault cohomology groups on Sasaki-Einstein manifolds and prove a new vanishing result for the...
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Periodic Cyclic Cocycles on the Boutet de Monvel Symbol Algebra
AbstractBoutet de Monvel constructed an algebra of boundary value problems for pseudodifferential operators on a manifold with boundary. We define...
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Characteristic cohomology and observables in higher spin gravity
We give a complete classification of dynamical invariants in 3 d and 4 d Higher Spin Gravity models, with some comments on arbitrary d . These include...
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Cyclification of Orbifolds
Inertia orbifolds homotopy-quotiented by rotation of geometric loops play a fundamental role not only in ordinary cyclic cohomology, but more...
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Classification of All Quadratic Star Products on a Plane* **
In this paper we classify all quadratic star products on a plane by using Hochschild cohomology and Poisson cohomology.
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Tutte polynomials of vertex-weighted graphs and group cohomology
AbstractWe construct a generalization of the Tutte polynomial for vertex-weighted graphs for which the coefficients of the “deletion–contraction”...
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Cyclic products of Szegö kernels and spin structure sums. Part I. Hyper-elliptic formulation
The summation over spin structures, which is required to implement the GSO projection in the RNS formulation of superstring theories, often presents...
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Cyclic-Homology Chern–Weil Theory for Families of Principal Coactions
Viewing the space of cotraces in the structural coalgebra of a principal coaction as a noncommutative counterpart of the classical Cartan model, we...
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Topological Quantum Field Theory and Algebraic Structures*
These notes are from lectures given at the Quantum field theory and noncommutative geometry workshop at Tohoku University in Sendai, Japan from...
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Higher Dimensional Analogon of Borcea-Voisin Calabi-Yau Manifolds, Their Hodge Numbers and L-Functions
We construct a series of examples of Calabi-Yau manifolds in an arbitrary dimension and compute the main invariants. In particular, we give higher...
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Classification of Quantum Groups via Galois Cohomology
The first example of a quantum group was introduced by P. Kulish and N. Reshetikhin. In the paper Kulish et al. (J Soviet Math 23:2435–2441, 1983),...
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A Gromov–Witten Theory for Simple Normal-Crossing Pairs Without Log Geometry
We define a new Gromov–Witten theory relative to simple normal crossing divisors as a limit of Gromov–Witten theory of multi-root stacks. Several...
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Fractional Elliptic Operators with Multiple Poles on Riemannian Manifold with Clifford Bundle
We introduce new types of fractional generalized elliptic operators on a compact Riemannian manifold with Clifford bundle. The theory is applicable...
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Spin fields for the spinning particle
We propose an analogue of spin fields for the relativistic RNS-particle in 4 dimensions, in order to describe Ramond-Ramond states as “two-particle”...
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Global Anomalies
When one tries to extend a local cocycles to the entire group gauge $$\mathcal...