A book in the Miles Vorkosigan series by Lois McMaster Bujold. Miles has to solve his first case as an
Imperial Auditor while dealing with his developing love for his hostess, Madame Ekaterin Vorsoisson.
Ms Bujold has recommended this book as a starting point for readers new to the Vorkosigan series, since we are seeing Miles at the beginning of his second career and through the eyes of someone who hasn't met him before.