Originally the notion of Cohomological Hall algebra (COHA for short) was introduced in my joint paper with Maxim Kontsevich (arXiv: 1006.2706) for the purposes of motivic Donaldson-Thomas theory of 3-dimensional Calabi-Yau categories. A physicist can think informally of COHA as of quantized enveloping algebra of the Lie algebra of single-particle closed BPS states. From this point of view there should … Read More